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# help? thanks.

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Part A)
Consider the system of equations

5x+y=-31, -3x+4y=-37

Solve 5x+y=-31 for y in terms of x. Write your answer in the form "y=..."

Part B)

Take your expression for y from part a and substitute it into -3x+4y=-37. Solve for x and y.

Feb 2, 2021

#1
+11086
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Part A)
Consider the system of equations

5x+y=-31, -3x+4y=-37

Solve 5x+y=-31 for y in terms of x. Write your answer in the form "y=..."

Part B)

Take your expression for y from part a and substitute it into -3x+4y=-37. Solve for x and y.

Hello mintjellyxd!

Part A)

$$5x + y = -31\\ \color{blue} y= -5x-31$$

Part B)

$$-3x + 4y = -37\\ y= -5x-31\\ -3x+4( -5x-31)=-37\\ -3x-20x-124=-37\\ -23x=-37+124\\ -23x=87$$

$$x=-\frac{87}{23}=\color{blue}-3\frac{18}{23}$$

$$y= -5x-31=\frac{5\cdot87}{23}-31=-\frac{278}{23}=\color{blue}-12\frac{2}{23}$$

$$pair\ (x,y)=(-3\frac{18}{23},-12\frac{2}{23})$$

!

Feb 3, 2021