SOLUTION: What is the ordered pair for x+y=160 and x=4y+30

Question 993548: What is the ordered pair for x+y=160 and x=4y+30

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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What is the ordered pair for x+y=160 and x=4y+30?
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You are lucky! You just have x expressed via y: x=4y+30.

Now substitute it into the first equation. In this way you will exclude x and will obtain a single equation for y only:

(4y+30) + y = 160.

Simplify and solve it:

5y = 130,

y = = 26.

Now substitute the found value of y into the second equation of the original system to get x:

x = 4*26 + 30 = 104 + 30 = 134.

Answer. x = 134, y = 26.

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