Hey, There 20percntcooler! :)
To solve these equations, we will need to substitute.
[tex]x-y=4 [/tex]
or
[tex]4+y=x [/tex]
We can substitute this for x so, we don't have to deal with two different variables.
[tex]x+2y=4[/tex]
or if substituted:
[tex]4+y+2y=4[/tex]
Solve for y.
[tex]4+y+2y=4[/tex]
Add like terms.
[tex]4+3y=4[/tex]
Subtract 4 from both sides.
[tex](4+3y)-4=(4)-4[/tex]
[tex]3y=0[/tex]
Divide both sides by 3.
[tex](3y)/3=(0)/3[/tex]
[tex]y=0[/tex]
Now lets input the value for y into the equation to find the value of x.
[tex]x-0=4 [/tex]
Add 0 to both sides.
[tex](x-0)+0=(4)+0 [/tex]
[tex]x=4 [/tex]
[tex]x=4 [/tex]
[tex]y=0 [/tex]
Hope this helps.
-Benjamin