Question

Solve each system of linear equation and explain any method you used:
-2/3+4y=36
y=5x-20

Answer 1

To solve this system of linear equations, we can use the method of substitution.

First, let's solve the first equation for y:
-2/3 + 4y = 36
4y = 36 + 2/3
4y = 108/3 + 2/3
4y = 110/3
y = (110/3) * (1/4)
y = 110/12
y = 55/6

Now, let's substitute y = 55/6 into the second equation:
55/6 = 5x - 20
5x = 55/6 + 20
5x = 55/6 + 120/6
5x = 175/6
x = (175/6) * (1/5)
x = 175/30
x = 35/6

Therefore, the solution to the system of linear equations is x = 35/6 and y = 55/6.