Solve the following systems of equations by any, №17887406, 05.12.2021 18:16

Mathematics

Solve the following systems of equations by any method. 1. 2y - 4 = 0 x + 2y = 5

Step-by-step answer

P Answered by PhD

(1,2)
good luck and pls mark brainliest

Mathematics

Ineed ur answer this question ! use the graph to state the solution for the system. (in other words, what is the solution for the system? ) x + 2y = 4 (line a) 3x – 2y = 4 (line b) 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the values for b and c that make the

Step-by-step answer

P Answered by Master

4

1/ we make -3*and and we have y=-1 and we replaced to have x=6 2/ any answer x=(7y+3)÷2 If we change answer of x in the second equation we get -7y-3+7y=-3 3/ x=-4+2y we change it in the second equation and we get y =1 if replace it in the first we have x=-2 4/ B=10 and C=16 5/ a= false b=true c=true d=true

Mathematics

50 points! 1. use the graph to state the solution for the system. (in other words, what is the solution for the system? ) x + 2y = 4 (line a) 3x – 2y = 4 (line b) 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the values for b and c that make the system coincident?

Step-by-step answer

P Answered by PhD

16

Well, 50 points total given, 25 points per user and 13 bonus for brainliest

anyway

1.
add them equations, the y's will cancel
x+2y=4
3x-2y=4 +
4x+0y=8

4x=8
divide by 4 both sides
x=2
sub back
x+2y=4
2+2y=4
minus 2
2y=2
divide 2
y=1
x=2
y=1
(x,y)
(2,1) is solution

2.
the solution is where they intersect
multiply 2nd equation by 2 and add to first
4x-14y=6
-4x+14y=-6 +
0x+0y=0
0=0
infinite solutions

that is because they are actually the same line
the solutions are (x,y) such that they satisfy -2x+7y=-3 or 4x-14y=6 (same equaiton)
infinite solutions

3.
multiply first equation by 2 and add to first
4x+2y=-6
1x-2y=-4 +
5x+0y=-10

5x=-10
divide by 5 both sides
x=-2
sub bac
x-2y=-4
-2-2y=-4
add 2
-2y=-2
divide by -2
y=1

x=-2
y=1
(x,y)
(-2,1)

4.
coincident means they are the same line
so

we see that we have to multiply 4 by 2 to get 8
multiply top equation by 2
8x+10y=16
8x+By=C
B=10 and C=16

5.
a. false, either 0, 1, or infinity solutions
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
total cost=150
TC=childC+adultC
TC=3c+5a
150=3c+5a

40 tickets, c+a
40=c+a

the equations are
150=3c+5a and
40=c+a

eliminate
multiply 2nd equaton by -3 and ad to first one

150=3c+5a
-120=-3c-3a +
30=0c+2a

30=2a
divide by 2
15=a

sub back
40=c+a
40=c+15
minus 15
25=c

25 children tickets and 15 adult tickets were sold

ANSWERS:

1.
(2,1) is solution

2.
infinite solutions

3.
(-2,1)

4.
B=10 and C=16

5.
a. false,
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
the equations are
150=3c+5a and
40=c+a
25 children tickets and 15 adult tickets were sold

Mathematics

50 points! 1. use the graph to state the solution for the system. (in other words, what is the solution for the system? ) x + 2y = 4 (line a) 3x – 2y = 4 (line b) 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the values for b and c that make the system coincident?

Step-by-step answer

P Answered by PhD

16

Well, 50 points total given, 25 points per user and 13 bonus for brainliest

anyway

1.
add them equations, the y's will cancel
x+2y=4
3x-2y=4 +
4x+0y=8

4x=8
divide by 4 both sides
x=2
sub back
x+2y=4
2+2y=4
minus 2
2y=2
divide 2
y=1
x=2
y=1
(x,y)
(2,1) is solution

2.
the solution is where they intersect
multiply 2nd equation by 2 and add to first
4x-14y=6
-4x+14y=-6 +
0x+0y=0
0=0
infinite solutions

that is because they are actually the same line
the solutions are (x,y) such that they satisfy -2x+7y=-3 or 4x-14y=6 (same equaiton)
infinite solutions

3.
multiply first equation by 2 and add to first
4x+2y=-6
1x-2y=-4 +
5x+0y=-10

5x=-10
divide by 5 both sides
x=-2
sub bac
x-2y=-4
-2-2y=-4
add 2
-2y=-2
divide by -2
y=1

x=-2
y=1
(x,y)
(-2,1)

4.
coincident means they are the same line
so

we see that we have to multiply 4 by 2 to get 8
multiply top equation by 2
8x+10y=16
8x+By=C
B=10 and C=16

5.
a. false, either 0, 1, or infinity solutions
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
total cost=150
TC=childC+adultC
TC=3c+5a
150=3c+5a

40 tickets, c+a
40=c+a

the equations are
150=3c+5a and
40=c+a

eliminate
multiply 2nd equaton by -3 and ad to first one

150=3c+5a
-120=-3c-3a +
30=0c+2a

30=2a
divide by 2
15=a

sub back
40=c+a
40=c+15
minus 15
25=c

25 children tickets and 15 adult tickets were sold

ANSWERS:

1.
(2,1) is solution

2.
infinite solutions

3.
(-2,1)

4.
B=10 and C=16

5.
a. false,
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
the equations are
150=3c+5a and
40=c+a
25 children tickets and 15 adult tickets were sold

Mathematics

1which method would you use to solve the system below? explain your reasoning, x+y=300 x+3y=18 2. can all systems be solved using any method? explain.

Step-by-step answer

P Answered by PhD

We would use the first equation to solve the second.

First, rewrite x+y=300 as x=300-y

Now we can substitute that for x in the second equation, allowing us to only have to solve for y.

300-y+3y=18

300-4y=18

-4y=-282

4y=282

Now, divide both sides by 4 to isolate x.

Y= 70.5

Now that we know the value of y, insert that in our first equation.

X=300-70.5

X=229.5

Mathematics

Ineed ur answer this question ! use the graph to state the solution for the system. (in other words, what is the solution for the system? ) x + 2y = 4 (line a) 3x – 2y = 4 (line b) 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the values for b and c that make the

Step-by-step answer

P Answered by Master

4

1/ we make -3*and and we have y=-1 and we replaced to have x=6 2/ any answer x=(7y+3)÷2 If we change answer of x in the second equation we get -7y-3+7y=-3 3/ x=-4+2y we change it in the second equation and we get y =1 if replace it in the first we have x=-2 4/ B=10 and C=16 5/ a= false b=true c=true d=true

Mathematics

1which method would you use to solve the system below? explain your reasoning, x+y=300 x+3y=18 2. can all systems be solved using any method? explain.

Step-by-step answer

P Answered by PhD

We would use the first equation to solve the second.

First, rewrite x+y=300 as x=300-y

Now we can substitute that for x in the second equation, allowing us to only have to solve for y.

300-y+3y=18

300-4y=18

-4y=-282

4y=282

Now, divide both sides by 4 to isolate x.

Y= 70.5

Now that we know the value of y, insert that in our first equation.

X=300-70.5

X=229.5

Mathematics

Will up ! 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the missing values? 4x + 5y = 8 8x + oy = ¨ 5. identify whether the statement is true or false. if the statement is false, change one word to transform it into a true statement. a. two linear equations can

Step-by-step answer

P Answered by Master

5

Here you go. Hope you understand all of the work.
Will up ! 2. how many solutions are there to the following system of equations? use any method you

Mathematics

Will up ! 2. how many solutions are there to the following system of equations? use any method you like, but be sure to show all work. 4x – 14y = 6 –2x + 7y = –3 3. what is the solution to the system of equations? use any method you like, but be sure to show all work. 2x + y = -3 x – 2y = -4 4. the system of equations is coincident. what are the missing values? 4x + 5y = 8 8x + oy = ¨ 5. identify whether the statement is true or false. if the statement is false, change one word to transform it into a true statement. a. two linear equations can

Step-by-step answer

P Answered by Specialist

5

Here you go. Hope you understand all of the work.
Will up ! 2. how many solutions are there to the following system of equations? use any method you

Mathematics

Solving systems of equations using any method

Step-by-step answer

P Answered by PhD

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

{x = 5 , y = 2

Solve the following systems of equations by any method.
1. 2y - 4 = 0
x + 2y = 5

Step-by-step answer

Faq

Try asking the Studen AI a question.