Consider the system of equations
5x + y = 31
3x + 4y = -37
Take your expression for y from part (a), and substitute it into the second equation. Solve for x and y.
Enter your answer as the ordered pair(x,y)
+592 as said, start by isolating y:
5x + y = 31
y = 31 - 5x
then substituting that into the second equation:
3x + 4y = -37
3x + 4(31 - 5x) = -37
3x + 124 - 20x = -37
124 - 17x = -37
- 17x = -161
x = \(9\frac{8}{17}\)
now you can substitute the x value back into the first equation to find y:
y = 31 - 5x
= 31 - 5( \(9\frac{8}{17}\) )
= 31 - \(47\frac{6}{17}\)
= \(-16\frac{6}{17}\)
so your answer would be \((9\frac{8}{17}, -16\frac{6}{17})\).
hope this helps and tell me if I did anything wrong :)
