Answer:
y = -5/2
x = 9/2
Explanation:
2x – 4y = 19
3x + 5y = 1
Make the x coefficients the same
6x – 12y = 57
6x + 10y = 2
Subtract the equations
(6x - 6x) + (-12y - 10y) = 57 - 2
-22y = 55
-2y = 5
y = -5/2
Substitute y into either equation to find x
2x – 4y = 19
2x – 4(-5/2) = 19
2x + 10 = 19
2x = 19 - 10
2x = 9
x = 9/2
3x + 5y = 1
3x + 5(-5/2) = 1
3x - 25/2 = 1
6x/2 - 25/2 = 2/2
6x/2 = 2/2 + 25/2
6x/2 = 27/2
2x/2 = 9/2
x = 9/2