To solve this system of equations, we can use the method of substitution.
1. Solve the second equation for y:
2x - y = 3
y = 2x - 3
2. Substitute the expression we just found for y into the first equation:
3x + 5y = -2
3x + 5(2x - 3) = -2
3x + 10x - 15 = -2
13x = 13
x = 1
3. Now that we know x = 1, we can substitute this value back into either of the original equations to solve for y:
2x - y = 3
2(1) - y = 3
y = -1
The solution to the system of equations is (1, -1).
3x + 5y = −2
2x − y = 3
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