Answer:
x = 3, y = 4
Explanation:
3x + y = 13
5x - 2y = 7
To solve by substitution, you solve one of the equations for a variable, and then plug it into the other equation.
I'm going to choose to solve the first equation for y, as that will be the easiest.
y = -3x + 13 (subtract 3x from both sides)
Now we plug this equation into the y in the second equation and solve for x.
5x - 2(-3x + 13) = 7 (distribute)
5x + 6x - 26 = 7 (combine like terms)
11x - 26 = 7 (add 26 to both sides)
11x = 33
x = 3
Now that we know x is 3, we can plug it in a solve either equation for y.
y = -3(3) + 13
y = -9 + 13
y = 4