To solve this system of equations, you can use the method of substitution. Here's how you can do it:
Start with the first equation: 5x - y = 7.
Solve the first equation for y in terms of x: y = 5x - 7.
Substitute this value of y into the second equation: 3x + 2(5x - 7) = -1.
Simplify and solve for x: 3x + 10x - 14 = -1. 13x - 14 = -1. 13x = 13. x = 1.
Substitute the value of x back into the first equation to solve for y: 5(1) - y = 7. 5 - y = 7. -y = 7 - 5. -y = 2. y = -2.
So, the solution to the system of equations is x = 1 and y = -2.
