Question

Solve the simultaneous equation using elimination method x + 4 = 6 and x- 2y=18​

Answer 1

Explanation:

Write x + 4 = 6 and x- 2y=18 vertically:

x + 4 = 6

x - 2y =18

Multiply the 2nd row by -1, obtaining:

x + 4 = 6

-x + 2y = -18

(2, -8)

Combine the two equations:

x + 4 = 6

-x + 2y = -18

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2y + 4 = -12, or 2y = -16, or y = -8.

We can tell immediately from the first equation that x = 2.

Thus, the solution is (2, -8).

Does this satisfy the second equation?

Is (2) - 2(-8) = 18 true?

Is 2 + 16 = 18 true? YES.