Question

Solve this equation y= 2x x= -y + 6

Answer 1

The solution is x = 2 and y = 4

Solution:

Given system of equations are:

y = 2x -------- eqn 1

x = -y + 6 ----------- eqn 2

We can solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

x = -2x + 6

Move the variables to one side and constants to other side

x + 2x = 6

3x = 6

Divide both sides of equation by 3

x = 2

Substitute x = 2 in eqn 1

y = 2(2)

y = 4

Thus the solution is x = 2 and y = 4