Solve this 6(x+4)+1=x+5, №18011140, 26.03.2023 05:48

Mathematics

Solve this 6(x+4)+1=x+5

Step-by-step answer

P Answered by Specialist

$\sf :\implies \quad {\pmb{x = - 4}}$

Solution:

Let's solve the given equation step by step ;

$\sf :\implies \quad 6(x + 4) + 1 = x + 5$

The first step is to distribute the equation:

$\sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5$

$\sf :\implies \quad 6x + 24 + 1 = x + 5$

$\sf :\implies \quad 6x + 25 = x + 5$

Second step is to combine the like terms:

$\sf :\implies \quad 6x + 25 - x = 5$

$\sf :\implies \quad( 6x - x) + 25 = 5$

$\sf :\implies \quad 5x + 25 = 5$

Now, subtract 25 from both sides :

$\sf :\implies \quad 5x + 25 - 25 = 5 - 25$

$\sf :\implies \quad 5x = - 20$

Divide both sides by 5:

$\sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5}$

$\sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}$

Hence, your answer is ; x = -4

Mathematics

Drag a statement or reason to each box to complete this proof. if −6(x−4)=42, then x=−3 statement reason 1. given 2. 3. x−4= −7 simplifying 4. x−4+4= −7+4 5. x= −3 simplifying answer chocies simplifying, addition property of equality, division property of equality, -6(x-4) = 42 -6 -6 the = sign is suppose to be in the middle and the other -6 under 42.also this is a choice to −6(x−4)=42

Step-by-step answer

P Answered by Master

87

i took the test here is the answer.

Drag a statement or reason to each box to complete this proof. if −6(x−4)=42, then x=−3 statement r

Mathematics

Iwill name brainliest plz which is an equation in point-slope form for the given point and slope? point: (–3, 7); slope: 4 y – 7 = 4(x – 3) y – 7 = 4(x + 3) y + 7 = 4(x + 3) y + 7 = 4x – 12 1 points save answer question 2 which is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6 y – 7 = 6(x + 4) y – 4 = 6(x – 7) y – 4 = 6(x + 7) y + 4 = 6(x – 7) 1 points save answer question 3 which is an equation in point-slope form for the given point and slope? point: (–8, 3); slope: 6 y + 3 = 6x – 48 y + 3 = 6(x + 8) y

Step-by-step answer

P Answered by PhD

18

Y - y1 = m(x - x1)
slope(m) = 4
(-3,7)...x1 = -3 and y1 = 7
now we sub
y - 7 = 4(x - (-3) =
y - 7 = 4(x + 3) <===

y - y1 = m(x - x1)
slope(m) = 6
(7,4)...x1 = 7 and y1 = 4
now we sub and solve
y - 4 = 6(x - 7) <==

y - y1 = m(x - x1)
slope(m) = 6
(-8,3)x1 = -8 and y1 = 3
sub
y - 3 = 6(x - (-8) =
y - 3 = 6(x + 8) <==

(-4,5)(-2,2)
slope = (2 - 5) / (-2 - (-4) = -3/(-2 + 4) = -3/2

y - y1 = m(x - x1)
slope(m) = -3/2
(2,-4)x1 = 2 and y1 = -4
sub
y - (-4) = -3/2(x - 2) =
y + 4 = -3/2(x - 2) <==

(50,1.25)(100,1.85)
slope = (1.85 - 1.25) / (100 - 50) = 0.6/50 = 0.012

y = mx + b
slope(m) = 0.012
use any of ur points...(50,1.25)...x = 50 and y = 1.25
now sub and find b, ur y int
1.25 = 0.012(50) + b
1.25 = 0.6 + b
1.25 - 0.6 = b
0.65 = b

so ur equation is : y = 0.012x + 0.65 <==

Mathematics

Iwill name brainliest plz which is an equation in point-slope form for the given point and slope? point: (–3, 7); slope: 4 y – 7 = 4(x – 3) y – 7 = 4(x + 3) y + 7 = 4(x + 3) y + 7 = 4x – 12 1 points save answer question 2 which is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6 y – 7 = 6(x + 4) y – 4 = 6(x – 7) y – 4 = 6(x + 7) y + 4 = 6(x – 7) 1 points save answer question 3 which is an equation in point-slope form for the given point and slope? point: (–8, 3); slope: 6 y + 3 = 6x – 48 y + 3 = 6(x + 8) y

Step-by-step answer

P Answered by PhD

18

Y - y1 = m(x - x1)
slope(m) = 4
(-3,7)...x1 = -3 and y1 = 7
now we sub
y - 7 = 4(x - (-3) =
y - 7 = 4(x + 3) <===

y - y1 = m(x - x1)
slope(m) = 6
(7,4)...x1 = 7 and y1 = 4
now we sub and solve
y - 4 = 6(x - 7) <==

y - y1 = m(x - x1)
slope(m) = 6
(-8,3)x1 = -8 and y1 = 3
sub
y - 3 = 6(x - (-8) =
y - 3 = 6(x + 8) <==

(-4,5)(-2,2)
slope = (2 - 5) / (-2 - (-4) = -3/(-2 + 4) = -3/2

y - y1 = m(x - x1)
slope(m) = -3/2
(2,-4)x1 = 2 and y1 = -4
sub
y - (-4) = -3/2(x - 2) =
y + 4 = -3/2(x - 2) <==

(50,1.25)(100,1.85)
slope = (1.85 - 1.25) / (100 - 50) = 0.6/50 = 0.012

y = mx + b
slope(m) = 0.012
use any of ur points...(50,1.25)...x = 50 and y = 1.25
now sub and find b, ur y int
1.25 = 0.012(50) + b
1.25 = 0.6 + b
1.25 - 0.6 = b
0.65 = b

so ur equation is : y = 0.012x + 0.65 <==

Mathematics

Drag a statement or reason to each box to complete this proof. if −6(x−4)=42, then x=−3 statement reason 1. given 2. 3. x−4= −7 simplifying 4. x−4+4= −7+4 5. x= −3 simplifying answer chocies simplifying, addition property of equality, division property of equality, -6(x-4) = 42 -6 -6 the = sign is suppose to be in the middle and the other -6 under 42.also this is a choice to −6(x−4)=42

Step-by-step answer

P Answered by Specialist

87

i took the test here is the answer.

Mathematics

Drag a statement or reason to each box to complete this proof. if −6(x−4)=42, then x=−3 statement reason 1. given 2. 3. x−4= −7 simplifying 4. x−4+4= −7+4 5. x= −3 simplifying answer chocies simplifying, addition property of equality, division property of equality, -6(x-4) = 42 -6 -6 the = sign is suppose to be in the middle and the other -6 under 42. also this is a choice to −6(x−4)=42

Step-by-step answer

P Answered by Master

2

Statements Reason

1. -6(x-4)= 42 Given

2. $\frac{-6(x-4)}{-6} = \frac{42}{-6}$ Division property of equality

" Division property of equality states that if we divide both sides of an equation by the same nonzero number, the equation remains equal".

3. x-4 = -7 Simplifying

4. x-4+4 = -7+4 Addition property of equality

"Addition property of equality states that if the same number is added to both sides of an equation, then the equality is still true".

5. x = -3 Simplifying

Therefore, the solution to the equation -6(x-4)= 42 is x = -3.

Mathematics

Okay due at noon today, I need help on 11 questions: were doing variables on both sides and learning on how to solve for x, no solutions and Infinite solutions. Also need to show work please. problems: 1: -3-3=-4(2x+7) 2: 8x+3=8x+27 3: 2(x-4)=7-3x 4: 6(x-6)+4=-32+6x 5: -2x-40=8(1-x) 6: -9-8x=-2(7+4x) 7: 2x+8=2(x+4) 8: x-20=5(7x-4) 9: -4(8+7x=-10-6x 10: 28=+ 8x = 8(x+3) +2 11: -35-7x=-7(x=5)

Step-by-step answer

P Answered by PhD

2

1: x = -2.75

2: No Solutions

3: x = 3

4: Infinite Solutions

5: x = 8

6: No Solutions

7: Infinite Solutions

8: No Solutions

9: x = -1

10: No Solutions

11: Infinite Solutions

Step-by-step explanation:

1)

$-3-3= -4(2x+7)\\-6= -8x-28\\22= -8x\\x= -2.75$

2)

$8x+3=8x+27\\0x+3=27\\0x=24\\x = No Solutions$

3)

$8x+3=8x+27\\2x-8=7-3x\\5x-8=7\\5x=15\\x=3$

4)

$6(x-6)+4= -32+6x\\6x-32= -32+6x\\0=0\\x = Infinite Solutions$

5)

$-2x-40=8(1-x)\\-2x-40=8-8x\\6x-40=8\\6x=48\\x=8$

6)

$-9-8x=-2(7+4x)\\-9-8x=-14-8x\\-8x=-5-28x\\x= No Solutions$

7)

$2x+8=2(x+4)\\2x+8=2x+8\\0=0\\x = Infinite Solutions$

8)

$x-20=5(7x-4)\\x-20=35x-20\\-34x=0\\x = No Solutions$

9)

$-4(8+7x)=-10-6x\\-32-28x=-10-6x\\-22x=22\\x = -1$

10)

$28+8x = 8(x+3) +2\\28+8x=8x+26\\0=-2\\x = No Solutions$

11)

$-35-7x=-7(x+5)\\-35-7x=-7x-35\\0=0\\x = Infinite Solutions$

Mathematics

Okay due at noon today, I need help on 11 questions: were doing variables on both sides and learning on how to solve for x, no solutions and Infinite solutions. Also need to show work please. problems: 1: -3-3=-4(2x+7) 2: 8x+3=8x+27 3: 2(x-4)=7-3x 4: 6(x-6)+4=-32+6x 5: -2x-40=8(1-x) 6: -9-8x=-2(7+4x) 7: 2x+8=2(x+4) 8: x-20=5(7x-4) 9: -4(8+7x=-10-6x 10: 28=+ 8x = 8(x+3) +2 11: -35-7x=-7(x=5)

Step-by-step answer

P Answered by PhD

2

1: x = -2.75

2: No Solutions

3: x = 3

4: Infinite Solutions

5: x = 8

6: No Solutions

7: Infinite Solutions

8: No Solutions

9: x = -1

10: No Solutions

11: Infinite Solutions

Step-by-step explanation:

1)

$-3-3= -4(2x+7)\\-6= -8x-28\\22= -8x\\x= -2.75$

2)

$8x+3=8x+27\\0x+3=27\\0x=24\\x = No Solutions$

3)

$8x+3=8x+27\\2x-8=7-3x\\5x-8=7\\5x=15\\x=3$

4)

$6(x-6)+4= -32+6x\\6x-32= -32+6x\\0=0\\x = Infinite Solutions$

5)

$-2x-40=8(1-x)\\-2x-40=8-8x\\6x-40=8\\6x=48\\x=8$

6)

$-9-8x=-2(7+4x)\\-9-8x=-14-8x\\-8x=-5-28x\\x= No Solutions$

7)

$2x+8=2(x+4)\\2x+8=2x+8\\0=0\\x = Infinite Solutions$

8)

$x-20=5(7x-4)\\x-20=35x-20\\-34x=0\\x = No Solutions$

9)

$-4(8+7x)=-10-6x\\-32-28x=-10-6x\\-22x=22\\x = -1$

10)

$28+8x = 8(x+3) +2\\28+8x=8x+26\\0=-2\\x = No Solutions$

11)

$-35-7x=-7(x+5)\\-35-7x=-7x-35\\0=0\\x = Infinite Solutions$

Mathematics

Burniece solved the following equation: 4x − 2x + 8 = 6(x + 4) step work justification 1 2x + 8 = 6(x + 4) combine like terms 2 2x + 8 = 6x + 24 distributive property 3 −4x + 8 = 24 subtraction property of equality 4 −4x = 16 addition property of equality 5 x = −4 division property of equality which step has an incorrect justification? step 1 step 2 step 3 step 4

Step-by-step answer

P Answered by Specialist

74

Step 4 has the incorrect justification.

In order to isolate the x variable, she subtracts 8 from both sides making it another subtraction property of equality justification.

Mathematics

Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) step work justification 1 2x + 8 = 6(x + 4) combine like terms 2 2x + 8 = 6x + 24 associative property of multiplication 3 −4x + 8 = 24 subtraction property of equality 4 −4x = 16 addition property of equality 5 x = −4 division property of equality which step has an incorrect justification? (make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Step-by-step answer

P Answered by PhD

7

4x - 2x + 8 = 6(x + 4) Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4) Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24 Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24 Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16 Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4 Division Property of Equality

Solve this 6(x+4)+1=x+5

Step-by-step answer

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