olve each system by substitution

Question

Y = 5
-3x + 4y = 8

Answer 1

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

First, we substitute y = 5 into the second equation:
-3x + 4(5) = 8

Simplifying the equation:
-3x + 20 = 8

Next, isolate the variable x by subtracting 20 from both sides:
-3x = 8 - 20
-3x = -12

Divide both sides by -3 to solve for x:
x = -12 / -3
x = 4

Now that we have found the value of x, we substitute it back into the first equation to solve for y:
y = 5

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