Mathematics: Can you use substitution or elimination process

Can you use substitution or elimination process, №14948883, 15.12.2020 10:01

Mathematics

EXPLANATION WOULD BE GREATLY APPRECIATED! No one answered my other post and I really need help and fast! So I answered a bunch of questions and gained some more points. Hopefully this is amount is enough incentive for people to help. It’s the most points I can put up. Choose the best method for solving each system. 1.) x+3y=7 5x+11y=3 A. Graphing B. Substitution C. Elimination 2.) 5x-3y=3 2x+7y=6 A. Graphing B. Substitution C. Elimination 3.) Sally is comparing the costs of two dressmakers for her bridesmaids’ dresses. Given the differing costs

Step-by-step answer

P Answered by PhD

1

1) B- Substitution

2) C- Elimination

3) A- Graphing

Step-by-step explanation:

1)

x+3y=7

5x+11y=3

x = 7 - 3y

Plug this x into the second equation and solve for y first

2)

5x-3y=3 --> (1)

2x+7y=6 --> (2)

Since making any variable the subject would involve fractions, it's better to go for elimination

7(1) + 3(2)

would eliminate y

3)

While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front

Mathematics

Solve by substitution, elimination, or graphing. show your work. 1.) mike and jc went to taco tent. mike bought 3 tacos and 2 burritos for $16. jc bought 5 tacos and 3 burritos for $25. 2.) there are 75 coins consisting of dimes and quarters with a value of $10.95. how many dimes are there? how many quarters are there? 3.)kade made 24 shots in the basketball game. all, either 2 or 3 point shots. if he scored 54 points, how many of each did he make? write 2 equations, solve by elimination. 4.) the fun guys game rental store charges an annual fee

Step-by-step answer

P Answered by PhD

2

1. 3t + 2b = 16multiply by -3
5t + 3b = 25...multiply by 2

-9t - 6b = -48 (result of multiplying by -3)
10t + 6b = 50 (result of multiplying by 2)
add
t = 2

3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5

so tacos (t) cost $ 2 and burritos (b) cost $ 5

d + q = 75d = 75 - q
0.10d + 0.25q = 10.95

0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23so there are 23 quarters

x = 2 point shots, y = 3 point shots
x + y = 24multiply by -2
2x + 3y = 54

-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
add
y = 6so there was 6 three point shots

x + y = 24
x + 6 = 24
x = 18and 18 two point shots

5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guysmore then 4, use Game Bank

(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2

y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)

(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1

y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)

y = 2x + 1
y = x + 5

2x + 1 = x + 5
2x - x = 5 - 1
x = 4

y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)

sorry..not 100% sure about the bonus

Mathematics

Solve by substitution, elimination, or graphing. show your work. 1.) mike and jc went to taco tent. mike bought 3 tacos and 2 burritos for $16. jc bought 5 tacos and 3 burritos for $25. 2.) there are 75 coins consisting of dimes and quarters with a value of $10.95. how many dimes are there? how many quarters are there? 3.)kade made 24 shots in the basketball game. all, either 2 or 3 point shots. if he scored 54 points, how many of each did he make? write 2 equations, solve by elimination. 4.) the fun guys game rental store charges an annual fee

Step-by-step answer

P Answered by PhD

2

1. 3t + 2b = 16multiply by -3
5t + 3b = 25...multiply by 2

-9t - 6b = -48 (result of multiplying by -3)
10t + 6b = 50 (result of multiplying by 2)
add
t = 2

3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5

so tacos (t) cost $ 2 and burritos (b) cost $ 5

d + q = 75d = 75 - q
0.10d + 0.25q = 10.95

0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23so there are 23 quarters

x = 2 point shots, y = 3 point shots
x + y = 24multiply by -2
2x + 3y = 54

-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
add
y = 6so there was 6 three point shots

x + y = 24
x + 6 = 24
x = 18and 18 two point shots

5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guysmore then 4, use Game Bank

(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2

y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)

(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1

y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)

y = 2x + 1
y = x + 5

2x + 1 = x + 5
2x - x = 5 - 1
x = 4

y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)

sorry..not 100% sure about the bonus

Mathematics

OER type of question. The system of linear equations is below. 2x – 3y = 15 -2x + y = -1 It has on it that the two ways it can be solved are Substitution or Elimination . The Academic Language we are supposed to use is below. Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify. Don t know if anyone can help me with this but I am really bad at OERs and I am hoping

Step-by-step answer

P Answered by PhD

3

x=-3, y=-19

Step-by-step explanation:

we can solve by substitution.

y = 2x-1 we can derive from the second equation.

plugging it into the first equation, 2x -3(2x-1) = 15.

simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.

now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1

simplify, 18+y = -1 --> y = -19.

Mathematics

What are the three ways to solve the system of equations. A) Graphing B) Substitution C) Elimination D) Graphing, Substitution, and Elimination

Step-by-step answer

P Answered by PhD

1

D

Step-by-step explanation:

graphing substitution and elimination

Mathematics

1. what is the solution of the system? − + 2 = 4 −4 + = −5 2. how many solutions does the system have? −2 + = 3 4 − 4 = 3. how many solutions does the system have? 3 + = 5 −2 = 6 − 10 4. how many solutions does the system have? − − 2 = −14 4 = −2 − 12 6. solve the following system using substitution or elimination. 3 + 3 = 27 − 3 = −11 7. solve the following system using substitution or elimination. 2 + 3 = 9 + 5 = 8 and if you don t mind could you explain how you got your answers

Step-by-step answer

P Answered by PhD

3

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is ( $\frac{-8}{7}, \frac{5}{7}$ )

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

$-x+2y=4\hfill (1)$

$-4x+y=-5\hfill (2)$

To solve equation by using elimination method

Multiply eqn (2) into 2

$-8x+2y=-10\hfill (3)$

Now subtracting (1) and (3)

-x+2y=4

-8x+2y=-10

_________________

7x=14

x= $\frac{14}{7}$

x=2

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

$y=\frac{6}{2}$

y=3

Therefore the solution is (2,3)

2) Given equation is

$-2x+y=3\hfill (1)$

4y-4=x

Rewritting as below

$x-4y=-4\hfill (2)$

To solve equation by using elimination method

multiply (2) into 2

$2x-8y=-8\hfill (3)$

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

$y=\frac{5}{7}$

substitute $y=\frac{5}{7}$ in (1)

$-2x+\frac{5}{7}=3$

$-2x=3-\frac{5}{7}$

$-2x=\frac{21-5}{7}$

$x=-\frac{8}{7}$

Therefore the solution is ( $\frac{-8}{7},\frac{5}{7}$ )

3) Given equation is $6x+2y=10\hfill (1)$

$3x+y=5\hfill (2)$

equation (1) can be written as

2(3x+y)=10

$3x+y=\frac{10}{2}$

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is $-x-2y=14\hfill (1)$

$-2x-4y=12\hfill (2)$

multiply equation (1) into 2

$-2x-4y=28\hfill (3)$

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

$28\neq -12$

therefore it has no solution

Mathematics

OER type of question. The system of linear equations is below. 2x – 3y = 15 -2x + y = -1 It has on it that the two ways it can be solved are Substitution or Elimination . The Academic Language we are supposed to use is below. Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify. Don t know if anyone can help me with this but I am really bad at OERs and I am hoping

Step-by-step answer

P Answered by PhD

3

x=-3, y=-19

Step-by-step explanation:

we can solve by substitution.

y = 2x-1 we can derive from the second equation.

plugging it into the first equation, 2x -3(2x-1) = 15.

simplying, 2x-6x+3 = 15 --> -4x+3 = 15, -4x = 12, x = -3.

now we know x, so we can solve for y by plugging it into one of the equations. --> -3*-6+y = -1

simplify, 18+y = -1 --> y = -19.

Mathematics

Solve the systemsolve the system by either substitution or elimination 4x + 4y = 20, 2x -2y = -18 by either substitution or elimination

Step-by-step answer

P Answered by Master

2

{4x + 4y = 20 | ÷4
{2x -2y = -18 | ÷2

{x + y = 5
{x -y = -9

2x = -4
x = -2

x + y = 5
-2 + y = 5
y = 5 + 2
y = 7

The answer is (-2, 7)

Mathematics

What are the three ways to solve the system of equations. A) Graphing B) Substitution C) Elimination D) Graphing, Substitution, and Elimination

Step-by-step answer

P Answered by PhD

1

D

Step-by-step explanation:

graphing substitution and elimination

Mathematics

1. what is the solution of the system? − + 2 = 4 −4 + = −5 2. how many solutions does the system have? −2 + = 3 4 − 4 = 3. how many solutions does the system have? 3 + = 5 −2 = 6 − 10 4. how many solutions does the system have? − − 2 = −14 4 = −2 − 12 6. solve the following system using substitution or elimination. 3 + 3 = 27 − 3 = −11 7. solve the following system using substitution or elimination. 2 + 3 = 9 + 5 = 8 and if you don t mind could you explain how you got your answers

Step-by-step answer

P Answered by PhD

3

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is ( $\frac{-8}{7}, \frac{5}{7}$ )

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

$-x+2y=4\hfill (1)$

$-4x+y=-5\hfill (2)$

To solve equation by using elimination method

Multiply eqn (2) into 2

$-8x+2y=-10\hfill (3)$

Now subtracting (1) and (3)

-x+2y=4

-8x+2y=-10

_________________

7x=14

x= $\frac{14}{7}$

x=2

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

$y=\frac{6}{2}$

y=3

Therefore the solution is (2,3)

2) Given equation is

$-2x+y=3\hfill (1)$

4y-4=x

Rewritting as below

$x-4y=-4\hfill (2)$

To solve equation by using elimination method

multiply (2) into 2

$2x-8y=-8\hfill (3)$

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

$y=\frac{5}{7}$

substitute $y=\frac{5}{7}$ in (1)

$-2x+\frac{5}{7}=3$

$-2x=3-\frac{5}{7}$

$-2x=\frac{21-5}{7}$

$x=-\frac{8}{7}$

Therefore the solution is ( $\frac{-8}{7},\frac{5}{7}$ )

3) Given equation is $6x+2y=10\hfill (1)$

$3x+y=5\hfill (2)$

equation (1) can be written as

2(3x+y)=10

$3x+y=\frac{10}{2}$

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is $-x-2y=14\hfill (1)$

$-2x-4y=12\hfill (2)$

multiply equation (1) into 2

$-2x-4y=28\hfill (3)$

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

$28\neq -12$

therefore it has no solution

Can you use substitution or elimination process

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