Answer:
(1,1)
Step-by-step explanation:
3x + 2y = 5
4x − 9y = −5
Multiply the first equation by 4 and the second equation by -3 so we can eliminate x
4(3x + 2y) = 5
*4
Distribute
12x +8y = 20
-3(4x − 9y) = −5*-3
-12x +27y = 15
Add the two new equations together
12x +8y = 20
-12x +27y = 15
------------------------
35y = 35
Divide by 35
35y/35 = 35/35
y=1
Now we can find x
3x+2y =5
3x+2(1) =5
3x +2 =5
Subtract 2 from each side
3x+2-2=5-2
3x=3
Divide by 3
3x/3 = 3/3
x=1
(1,1)
