5x+2y=22,x+3y=8

solve by elimination method
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1 Answer

Problem: 5x+2y=22,x+3y=8
solve by elimination method

1) 5x + 2y = 22
2) x + 3y = 8

Multiply equation 2 by 5

5(x + 3y) = 8 * 5
3) 5x + 15y = 40

Subtract equation 1 from equation 3 to elimnate x

  5x + 15y = 40
-(5x +  2y = 22)
------------------
         13y = 18
13y = 18
y = 18/13

Solve for x

2) x + 3y = 8
x + 3(18/13) = 8
x + 54/13 = 8
x + 54/13 - 54/13 = 8 - 54/13
x = 8 - 54/13
x = 104/13 - 54/13
x = 50/13

Check it.

1) 5x + 2y = 22
5(50/13) + 2(18/13) = 22
250/13 + 36/13 = 22
286/13 = 22
22 = 22

Answer: x = 50/13, y = 18/13

 

by Level 11 User (78.4k points)

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