Answer:
x = 1; y = -1
Explanation:
It appears you have a system of equations and are trying to solve the system. If you have another purpose for these two equations, write it in the comments and I'll adjust my answer to help you.
Method to solve: Elimination:
We can first solve for x by eliminating the ys.
Step 1: Multiply Equation 2 (9x + 2y = 7) by 3:
First, we'll need to multiply equation 2 by 3 since -6y + 6y = 0:
3(9x + 2y = 7)
27x + 6y = 21
Step 2: Add 27x + 6y = 21 to Equation 1 to eliminate the ys and solve for x:
Now we can add 27x + 6y = 21 to Equation 1 (4x - 6y = 10) to eliminate the ys and solve for x:
4x - 6y = 10
+
27x + 6y = 21
----------------------------------------------------------------------------------------------------------
(31x = 31) / 31
x = 1
Thus, x = 1.
Step 3: Plug in 1 for x in 4x - 6y = 10 and solve for y:
Finally, we can find y by plugging in 1 for x in 4x - 6y = 10 and solving for y:
4(1) - 6y = 10
(4 - 6y = 10) - 4
(-6y = 6) / -6
y = -1
Thus, y = -1.