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# plz help with system

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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)

Nov 16, 2021

#1
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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 :)

Nov 16, 2021