How do you solve the simultanious equation 4x plus 2y equals 12 x plus 2y equals 6?

Answer 1

If the two equations are (i) 4x + 2y = 12 and (ii) x + 2y = 6, proceed as follows:

Rewrite (ii) as x = 6 - 2y; substitute this expression for x into (i) to result in

4(6 - 2y) + 2y = 12, or 24 - 8 y + 2y = 12, or - 6 y = 12 -24 = -12, or y = -12/-6 = 2. Then, back to (ii) again, x = 6 - 2(2) = 2.