Good morning
4x + 9y = 16
6x - 9y = 8
We need to solve 4x + 9y = 16 for x
4x = 16 - 9y
Divide both sides by 4
4x/4 = (16-9y)/4
x = -9/4 y + 4
Now substitute -9/4 y + 4 for x in 6x - 9y = 8
6x - 9y = 8
6(-9/4 y + 4) -9y = 8
-45/2 y + 24 = 8
-45/2 y = 8 - 24
-45/2 y = -16
y = -16/-45/2
y = 32/45
Since we have y now, it will be easy to find x
Substitute 32/45 for y in x = -9/4 y + 4
x = -9/4 y + 4
x = -9/4 (32/45) + 4
x = -8/5 + 4
x = 12/5
Thus, your answer is : 12/5; 32/45
I hope that's help ! Feel free to ask me any further questions about the answer.
Also, if you are struggling with equations feel free to message me and I will be your tutor for 1 week. FREE, NO POINS REQUIRED !