Answer:
(x, y) solution: (0, -1)
Explanation:
Method to solve: Elimination:
We can solve through eliminating by first multiplying the entire second equation by 2. This will allow us to eliminate the xs since 16x - 16x = 0:
2(-8x - 6y = 6)
-16x - 12y = 12
Solve for y by eliminating the xs through adding the equations:
Now we want to add this equation and 16x - 10y = 10 to eliminate the xs and solve for y:
16x - 10y = 10
+
-16x - 12y = 12
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(16x - 16x) + (-10y - 12y) = (10 + 12)
-22y = 22
y = -1
Thus, y = -1.
Solving for x:
Now we can solve for x by plugging in -1 for y in 16x - 10y = 10:
16x - 10(-1) = 10
16x + 10 = 10
16x = 0
x = 0
Thus, x = 0.
Therefore, the solution to the system as an ordered pair in (x, y) form is (0, -1)