# algebra

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what is 2x+3y=-5,3x+5y=-9 in substitution form

• algebra -

solve the first equation for x
2x = -3y - 5
x = -(3 y/2 +5/2)

substitute in the second
-3(3y/2+5/2) +5y = -9
-9y/2 -15/2 + 10y/2 = -18/2

y = -3
then x = 9y/2 -5/2 = 2

check by using that x and y in equation 1
2x+3y=-5
2*2 + 3*-3 = -5?
4-9 = -5
Yes, checks

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