Question 1098542
<br>While the solution by the other tutor is fine, I don't understand why so many people use substitution to solve pairs of equations that are given in this form, when elimination seems to me so much easier.<br>
{{{2x-y =1}}}
{{{7x+6y=-6}}}<br>
multiply the first equation by 6 so that the y term is "-6y"; then when you add the two equations the y is eliminated, giving you a simple equation to solve for x:
{{{12x-6y = 6}}}
{{{7x+6y = -6}}}
{{{19x = 0}}}   [adding the two equations]
So x = 0; now substitute that value in either of the original equations.
{{{2(0)-y = 1}}}
{{{-y = 1}}}
and so y = -1.<br>
The solution is (x,y) = (0,-1).