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3 years ago

3x-7=4x+10 show the steps pleeease

Mathematics

2 answers:

aleksandrvk [35]3 years ago

5 0

3x-7=4x+10
(get numbers on one side terms on the other)

3x=4x+17

-1x=17
(divide the -1 out)

x=-17

Fudgin [204]3 years ago

3 0

Answer:

-17

Step-by-step explanation:

3x-7=4x+10

Add 7 to both sides & simplify

3x-7=4x+10

+7 +7

3x=4x+17

Subtract 4x from both sides & simplify

3x=4x+17

-4x -4x

-x=17

*Negative x equals -1*

Divide both sides by -1 & simplify

$\frac{-x}{-1} =\frac{-17}{-1}$

$x=-17$

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What is the x-value of the solution to the system of equations?

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Answer:

The solution to the system of equations is:

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Step-by-step explanation:

Given the system of equations

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solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

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$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

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Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

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