SOLUTION: 4x-5y=-23 y+2x =13

Question 465180: 4x-5y=-23
y+2x =13
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
4x - 5y = -23
y + 2x = 13 ------> y = -2x + 13 {subtracted 2x from both sides}

4x - 5y = -23 {top equation}
4x - 5(-2x + 13) = -23 {substituted -2x + 13, in for y, into top equation}
4x + 10x - 65 = -23 {used distributive property}
14x - 65 = -23 {combined like terms}
14x = 42 {added 65 to both sides}
x = 3 {divided both sides by 14}

y = -2x + 13 {the re-arranged bottom equation}
y = -2(3) + 13 {substituted 3, in for x, into y = -2x + 13}
y = -6 + 13 {multiplied -2 by 3}
y = 7 {combined like terms}

x = 3 and y = 7

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