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)
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)
\( -3x + 4y = -37\\ y= -5x-31\\ -3x+4( -5x-31)=-37\\ -3x-20x-124=-37\\ -23x=-37+124\\ -23x=87\)
\(x=-\frac{87}{23}=\color{blue}-3\frac{18}{23}\)
\( y= -5x-31=\frac{5\cdot87}{23}-31=-\frac{278}{23}=\color{blue}-12\frac{2}{23}\)
\(pair\ (x,y)=(-3\frac{18}{23},-12\frac{2}{23})\)
!