Question 949213
2x -3y = -2
5x = 2y -9
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rewrite the second equations as
5x -2y = -9
now multiply the new second equation by -1
-5x +2y = 9
now add this new equation to the first equation
-3x -y = 7
add 3x to both sides of =
-y = 3x + 7
multiply both sides of = by -1
y = -3x -7
now substitute for y in first equation
2x -3(-3x-7) = -2
2x +9x +21 = -2
11x = -23
x = −2.09090909
using first equation substitute for x and solve for y
(2*−2.09090909) -3y = -2
−4.18181818 -3y = -2
-3y = 2.18181818
y = -0.727272727
therefore our solution is x = −2.09090909 and y = 0.727272727
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check our solution by substituting for x and y in second equation
(5*−2.09090909) = (2*-0.727272727) -9
−10.45454545 = −10.454545454
our answer checks