The solution for (x,y) is (2.38,5).
Step-by-step explanation:
Equation 1: -13x + 11y = -29
Equation 2: 52x + 2y = 114
<u>Multiply equation 1 by 4</u>
Equation 1: -13x(4) + 11y(4) = -29(4)
--------------> -52x + 44y = -116
<u>Cancel x and find the value of y</u>
Equation 1: -52x + 44y = -116
Equation 2: 52x + 2y = -114
-52x+52x+44y+2y = -116-114
46y = -230
y = ![\frac{-230}{46}](https://tex.z-dn.net/?f=%5Cfrac%7B-230%7D%7B46%7D)
y = 5
<u>Put the value of y in any one equation to find x</u>
52x + 2(5) = -114
52x = -114-10
52x = -124
x =
x = 2.38
Therefore, the solution for (x,y) is (2.38,5).
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