The solution is x = 2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y = 2x -------- eqn 1
x = -y + 6 ----------- eqn 2
We can solve the system of equations by substitution method
<em><u>Substitute eqn 1 in eqn 2</u></em>
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
<em><u>Substitute x = 2 in eqn 1</u></em>
y = 2(2)
y = 4
Thus the solution is x = 2 and y = 4