Question

3х + 2y = 18
y=4x-13
Substitution

Answer 1

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.