ve the system by substitution. y=-5x-10 y=-10x (1)

To solve the system of equations by substitution, we can substitute the expression for y from the second equation into the first equation.<br /><br />Given:<br />$y = -5x - 10$<br />$y = -10x$<br /><br />Substitute the expression for y from the second equation into the first equation:<br />$-10x = -5x - 10$<br /><br />Now, solve for x:<br />$-10x + 5x = -10$<br />$-5x = -10$<br />$x = 2$<br /><br />Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the second equation:<br />$y = -10x$<br />$y = -10(2)$<br />$y = -20$<br /><br />Therefore, the solution to the system of equations is:<br />$x = 2$<br />$y = -20$