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5 votes
Y = 4x + 5
2x + 8y = 16

1 Answer

2 votes

Answer:

(-
(12)/(17) ,
(37)/(17) )

Explanation:

y = 4x + 5 → (1)

2x + 8y = 16 → (2)

substitute y = 4x + 5 into (2)

2x + 8(4x + 5) = 16 ← distribute parenthesis

2x + 32x + 40 = 16

34x + 40 = 16 ( subtract 40 from both sides )

34x = - 24 ( divide both sides by 34 )

x = -
(24)/(34) = -
(12)/(17)

substitute this value into (1)

y = 4(-
(12)/(17) ) + 5 = -
(48)/(17) +
(85)/(17) =
(37)/(17)

solution is ( -
(12)/(17) ,
(37)/(17) )

User JNM
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