Question

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Solve the simultaneous question x-2y=10 X=6y+2

Answer 1

x = 32

y = 5

Explanation:

2y=10

X=6y+2

Put both equations in the same format

x - 6y = 2

Manipulate the equations so that they have a common coefficient

6y = 30

Solve for one coefficient

(x - 6y = 2) + (6y = 30)

x + (-6y + 6y) = 2 + 30

x = 2 + 30

x = 32

Solve for the other coefficient

2y = 10

y = 5

x - 6y = 2

32 - 6y = 2

-6y = 2 - 32

-6y = -30

y = -30/-6

y = 5