SOLUTION: Find the solution to each system by the substitution method.
3x – 5y = 7
x – 4y = -7
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Question 775572: Find the solution to each system by the substitution method.
3x – 5y = 7
x – 4y = -7
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
3x - 5y = 7
x - 4y = -7
x = 4y - 7 {added 4y to each side of bottom equation}
3(4y - 7) - 5y = 7 {substituted (4y - 7), in for x, into top equation}
12y - 21 - 5y = 7 {used distributive property}
7y - 21 = 7 {combined like terms}
7y = 28 {added 21 to each side}
y = 4 {divided each side by 7}
x = 4y - 7 {new bottom equation}
x = 4(4) - 7 {substituted 4, in for y, into new bottom equation}
x = 16 - 7 {multiplied}
x = 9 {subtracted}
x = 9 and y = 4
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