Solve each system by substitution

Question

Y = 5
-3x + 4y = 8

Answer 1

To solve this system by substitution, we can substitute the value of y from the first equation into the second equation.

In the first equation, we are given that y = 5.

Substituting y = 5 into the second equation, we have:

-3x + 4(5) = 8

Simplifying this equation, we get:

-3x + 20 = 8

To isolate x, we can subtract 20 from both sides:

-3x = 8 - 20
-3x = -12

Dividing both sides by -3, we find:

x = -12 / -3
x = 4

Therefore, the solution to the system is x = 4 and y = 5.