Find the solution of the system of equations. -2x-2y=-14 10x+4y=10 Answer Attempt sontof 2

To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use the elimination method.First, let's simplify the first equation by dividing all terms by -2:\[x + y = 7\]Now, let's multiply the first equation by 10 to make the coefficients of x in both equations the same:\[10x + 10y = 70\]Subtract the first equation from the second:\[(10x + 4y) - (10x + 10y) = 10 - 70\]This simplifies to:\[-6y = -60\]Divide both sides by -6 to solve for y:\[y = 10\]Substitute y = 10 into the first equation to solve for x:\[x + 10 = 7\]Subtract 10 from both sides:\[x = -3\]So, the solution to the system of equations is x = -3, y = 10.