5. Eliminate the y in the following system of equations. What is the result when you add the two equations? ) x+y=2 3x-4y=27 7x=35 4x=29 x=-23 7x=29

To eliminate y in the given system of equations, we can multiply the first equation by 4 and the second equation by 1, then add the two equations together.<br /><br />Multiplying the first equation by 4, we get:<br />4(x + y)<br />4x + 4y = 8<br /><br />The second equation remains the same:<br />3x - 4y = 27<br /><br />Now, we can add the two equations together:<br />(4x + 4y) + (3x - 4y) = 8 + 27<br />4x + 3x = 35<br />7x = 35<br /><br />Therefore, the result when you add the two equations is 7x = 35.