3х + 2y = 18
y=4x-13
Substitution
To solve this system of equations using substitution, we will solve one equation for one variable and substitute it into the other equation.
First, let's solve the second equation for y in terms of x:
y = 4x - 13
Next, we will substitute this expression for y into the first equation:
3x + 2(4x - 13) = 18
Now, we simplify and solve for x:
3x + 8x - 26 = 18
11x - 26 = 18
11x = 44
x = 4
Now that we have found the value of x, we can substitute it back into the second equation to find y:
y = 4(4) - 13
y = 16 - 13
y = 3
Therefore, the solution to the system of equations is x = 4 and y = 3.