Solve the following simultaneous equations 2x = 8 – 12y 12 + 2x + 2y = 4x

Question

 (c) ) Solve the following simultaneous equations
2x = 8 – 12y
12 + 2x + 2y = 4x and show how you arrived at answer

Answer 1

Your system:

2x = 8 – 12y
12 + 2x + 2y = 4x

 

The second equation, after subtracting 2x from each side, becomes 12 + 2y = 2x

 

Equating the two representations of 2x from first & second equations leadsus to 12 + 2y = 8 - 12y

or 14 y = -4  so that gives y = -2/7.

 

Check my work!  If you agree, proceed to substitute the y value into the first equation, leading to solving for x.