Question 387180
First, we can substitute the value of y into the first equation.
2x+2y=10
2x+2(x+1)=10
Then, we distribute the two in the equation's first half.
2x+2(x+1)=10
2x+2x+2=10
Then, we combine the two "2x"s
4x+2=10
Next, we subtract 2 from both sides.
4x+2=10
4x+2-2=10-2
4x=8
Finally, we divide both sides by four to isolate the variable.
4x=8
{{{4x/4=8/4}}}
x=2

To check:
y=x+1
y=4+1
y=5
2x+2y=10
{{{2*2+2*3}}}=10
4+6=10
10=10
This is correct, so x is equal to 2.