The only ordered pair that is a solution to your systems of equations problem is (1,4). Here is the work done out step by step.
Step 1: Choose one equation. I chose y = 8x - 4 because y is already solved for.
y = 8x + 4
Step 2: Substitute in 8x + 4 for y into the other equation.
-3x + 2(8x - 4) = 5
Step 3: Solve the equation above.
-3x + 2(8x - 4) = 5
-3x + 16x - 8 = 5
13x - 8 = 5
+ 8 +8
--------------------
13x = 13x
x = 1
Step 4: Plug in your x value into either of your two equations.
-3(1) + 2y = 5
-3 + 2y = 5
+ 3 + 3
----------------------
2y = 8
-----------
2 2 Divide by 2 on both
sides, not 22.
y = 4
Lastly, put your x - value and your y- value together to get an ordered pair of (1,4).
