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Multiply both equations by a constant

Multiply both equations by a constant-example-1
User PiRX
by
8.1k points

1 Answer

6 votes

Answer:

(-
(1)/(3),
(3)/(4) )

Explanation:

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

Multiplying (1) by 12 and (2) by 8 and adding will eliminate the y- term

108x + 96y = 36 → (3)

48x - 96y = - 88 → (4)

Add (3) and (4) term by term to eliminate y

156x = - 52 ( divide both sides by 156 )

x =
(-52)/(156) = -
(1)/(3)

Substitute this value into either of the 2 equations and solve for y

Substituting into (1)

9(-
(1)/(3) ) + 8y = 3

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y =
(6)/(8) =
(3)/(4)

solution is (-
(1)/(3),
(3)/(4) )

User Yovanna
by
8.4k points

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