Question 431217: PLEASE HELP ME..!
What does the x equal in the solution of the system of equations below?
y = 2x + 2
y = 1/2x + 5
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What does the y equal in the solution of the system of equations below?
3x – y = 1
y – x = –5
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! What does the x equal in the solution of the system of equations below?
y = 2x + 2
y = 1/2x + 5
2x + 2 = 1/2x + 5 {substituted 2x + 2, in for y, into bottom equation}
2x = 1/2x + 3 {subtracted 2 from both sides}
3/2x = 3 {subtracted 1/2x from both sides}
x = 2 {divided both sides by 3/2, multiplied by reciprocal 2/3}
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What does the y equal in the solution of the system of equations below?
3x – y = 1
y – x = –5 -----> -x = -y - 5 -----> x = y + 5 {solved for x}
3(y + 5) - y = 1 {substituted y + 5, in for x, into top equation}
3y + 15 - y = 1 {used distributive property}
2y + 15 = 1 {combined like terms}
2y = -14 {subtracted 15 from both sides}
y = -7 {divided both sides by 2}
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