Directions: Solve the syste m of equ (Read the above rubric CAREFULLS 1) y=-2x-1 2x-5y=-19

To solve the system of equations, we can use the method of substitution or elimination. Here, we'll use the elimination method.<br /><br />Given:<br />1) $y = -2x - 1$<br />2) $2x - 5y = -19$<br /><br />First, let's rearrange equation 1 to express $y$ in terms of $x$:<br />$y = -2x - 1$<br /><br />Now, substitute this expression for $y$ in equation 2:<br />$2x - 5(-2x - 1) = -19$<br /><br />Simplify the equation:<br />$2x + 10x + 5 = -19$<br /><br />Combine like terms:<br />$12x + 5 = -19$<br /><br />Subtract 5 from both sides:<br />$12x = -24$<br /><br />Divide by 12:<br />$x = -2$<br /><br />Now that we have the value of $x$, we can substitute it back into equation 1 to find the value of $y$:<br />$y = -2(-2) - 1$<br /><br />Simplify:<br />$y = 4 - 1$<br /><br />So, $y = 3$<br /><br />Therefore, the solution to the system of equations is $x = -2$ and $y = 3$.