Question Answer Altempt 2 out of 2 -4x+y=6 -5x-y=21

To solve the system of equations, we can use the elimination method. <br /><br />First, we can multiply the first equation by 5 and the second equation by 4 to make the coefficients of y the same in both equations:<br /><br />$-20x + 5y = 30$<br />$-20x - 4y = 84$<br /><br />Next, we can add the two equations together to eliminate x:<br /><br />$-20x + 5y + (-20x - 4y) = 30 + 84$<br />$-40x + y = 114$<br /><br />Now, we can solve for y by adding 40x to both sides:<br /><br />$y = 114 + 40x$<br /><br />Substituting this value of y into the first equation, we get:<br /><br />$-4x + (114 + 40x) = 6$<br />$-4x + 114 + 40x = 6$<br />$36x + 114 = 6$<br />$36x = -108$<br />$x = -3$<br /><br />Substituting this value of x into the first equation, we get:<br /><br />$-4(-3) + y = 6$<br />$12 + y = 6$<br />$y = -6$<br /><br />Therefore, the solution to the system of equations is $x = -3$ and $y = -6$.