5х-у=7 3х+2у=-1

To solve this system of equations, we can use the method of substitution or elimination.

Method of Substitution: Step 1: Solve one equation for one of the variables. From the first equation, we can solve for x: 5x - y = 7 5x = y + 7 x = (y + 7)/5

Step 2: Substitute the expression for x into the second equation. 3x + 2y = -1 3((y + 7)/5) + 2y = -1 (3y + 21)/5 + 2y = -1

Step 3: Solve for y. To get rid of the denominators, multiply through by the common denominator (5): 5(3y + 21)/5 + 52y = 5(-1) 3y + 21 + 10y = -5 13y + 21 = -5 13y = -26 y = -2

Step 4: Substitute the value of y back into one of the original equations to solve for x. Using the first equation, we have: 5x - (-2) = 7 5x + 2 = 7 5x = 7 - 2 5x = 5 x = 5/5 x = 1

So, the solution to the system of equations is x = 1 and y = -2.