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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. 

Enter your answer as the ordered pair, (x, y)

 Feb 2, 2021
 #1
avatar+11086 
+1

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. 

Enter your answer as the ordered pair, (x, y)

 

Hello mintjellyxd!

 

Part A)

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

 

Part B)

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

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

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

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

laugh  !

 Feb 3, 2021

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