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Solve the system
{ y=x -8
{ 3x + 2y= 14


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User BigSauce
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1 Answer

4 votes

Answer:

(6, - 2 )

Explanation:

y = x - 8 → (1)

3x + 2y = 14 → (2)

substitute y = x - 8 into (2)

3x + 2(x - 8) = 14

3x + 2x - 16 = 14

5x - 16 = 14 ( add 16 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

substitute x = 6 into (1)

y = x - 8 = 6 - 8 = - 2

solution is (6, - 2 )