Answer:
(2, -3)
Explanation:
Pick either equation and solve it for either variable.
Then substitute the expression you get into the other equation.
I choose to solve -3x - 8y = 18 for x. Add 3x to both sides, and subtract 18 from both sides to get:
3x = -8y -18 Then divide by 3:
x = (-8/3)y - 6
Now we have "x = something" that we can plug into the other equation:
9x + 4y = 6 Put in the expression we found for x:
9(-8/3(y) - 6) + 4y = 6 Do the multiplication:
-24y - 54 + 4y = 6 Combine the y terms:
-20y - 54 = 6 Add 20y to both sides and subtract 6:
-54 - 6 = 20y
20y = -60 --> y = -3
Now that you know what y is, plug it into either equation and solve for x. Let's put it in the first equation:
9x + 4(-3) = 6
9x - 12 = 6
9x = 18
x = 2
Test if the answer (2, -3) works in either equation:
9x + 4y = 6 Substitute what we calculated:
9(2) + 4(-3) = 6
18 - 12 = 6
And that's true, 18 minus 12 does equal 6, so our answer checks out.