4х+у=10 х+3у=-3

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

Step 1: Solve one equation for one variable. Using the first equation, solve for y: 4x + y = 10 y = 10 - 4x

Step 2: Substitute the value found from step 1 into the other equation. Substitute y = 10 - 4x into the second equation: x + 3(10 - 4x) = -3

Step 3: Simplify and solve for x. x + 30 - 12x = -3 -11x + 30 = -3 -11x = -3 - 30 -11x = -33 x = -33 / (-11) x = 3

Step 4: Substitute the value of x back into one of the original equations to solve for y. Using the first equation: 4(3) + y = 10 12 + y = 10 y = 10 - 12 y = -2

So the solution to the system of equations is x = 3, y = -2.