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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

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