Answer:
(0, -5)
Explanation:
Elimination method: Part one Y
5x - 2y = 10
4x - 3y = 15
Let's isolate y and we will multiply the first equation by -4 and the second by 5
-20x + 8 = -40
20x - 15y = 75
-7y = 35, divide both sides by -7 y
y = -5
Elimination method: Part two X
Since we cannot eliminate y right away, let's multiply the first expression by -3 and the second one by 2
-15x + 6y = -30
6x - 6y = 30
Now we have to solve it for x
-9x = 0
divide both sides by the coeficient
x = 0
0, -5 is the answer. Let's check!
5(0) - 2(-5) = 10 -2(-5) equals 10=10 which is correct!
4(0) - 3(-5) = 15 -3(-5) which is 15 = 15 which is correct!