Answer:
(0,3)
Step-by-step explanation:
We want to solve the system of equations:
[tex]x + y = 3 \\ x + 2y = 6[/tex]
To solve by substitution, we make one variable the subject in one equation and substitute into the other equation.
Let us make y the subject in the first equation to obtain:
[tex]y = 3 - x[/tex]
We put this into the second equation to get:
[tex]x + 2(3 - x) = 6[/tex]
Simplify:
[tex]x + 6 - 2x = 6[/tex]
[tex] x - 2x = 6 - 6[/tex]
[tex] - x = 0[/tex]
[tex]x = 0[/tex]
Put x=0 into y=3-x
[tex]y = 3 - 0 = 3[/tex]
The solution is x=0, y=3
