Use substitution to solve the system.
x=2y-6
4x+3y=20
x=
y=
To solve this system of equations by substitution, we will use the first equation to express x in terms of y.
Given:
x = 2y - 6
We will substitute this expression for x in the second equation:
4x + 3y = 20
4(2y - 6) + 3y = 20
Simplify the equation:
8y - 24 + 3y = 20
11y - 24 = 20
Add 24 to both sides:
11y = 44
Divide both sides by 11:
y = 4
Now that we have y = 4, we can substitute this value back into the first equation to solve for x:
x = 2y - 6
x = 2(4) - 6
x = 8 - 6
x = 2
Therefore, the solution to the system is:
x = 2
y = 4