Question

Write down the solution to the simultaneous equations.

2x+y = 12
y = 2x + 2
x = ________? y = ________?​

Answer 1

x = 5/2; y = 7

Explanation:

2x + y = 12

y = 2x + 2

Use substitution to replace y in the first equation with 2x + 2.

2x + 2x + 2 = 12

4x + 2 = 12

4x = 10

x = 10/4

x = 5/2

y = 2x + 2

y = 2(5/2) + 2 = 5 + 2

y = 7