Which ordered pair is the solution to the system of linear ecuations -5x+y=28 and 2x-7y=16 (-4,6) (6,-4) (-4,-6) (-6,-4)

To solve the system of linear equations, we can use the substitution or elimination method. In this case, we can use the elimination method.<br /><br />First, let's multiply the first equation by 2 and the second equation by 5 to make the coefficients of x in both equations equal:<br /><br />$-10x + 2y = 56$<br />$10x - 35y = 80$<br /><br />Now, we can add the two equations together to eliminate x:<br /><br />$-33y = 136$<br /><br />Dividing both sides by -33, we get:<br /><br />$y = -4$<br /><br />Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:<br /><br />$-5x + (-4) = 28$<br /><br />Simplifying, we get:<br /><br />$-5x = 32$<br /><br />Dividing both sides by -5, we get:<br /><br />$x = -6.4$<br /><br />Therefore, the ordered pair that is the solution to the system of linear equations is $(-6.4, -4)$.