<span>(1) 2x + y = 9 </span><span>(2) 8x – 2y = 6 </span> You can eliminate the x or the y. I am going to eliminate the y
First multiply the first equation 2x + y = 9 by 2. 2x + y = 9 2(2x + y = 9) 4x +2y = 18 Now we have a new equation that we can use and we can eliminate the y from the other equation because +2y - 2y = 0. Lets do that now and solve for x.
4x +2y = 18 8x – 2y = 6 12x = 24 12x / 12 = 24 / 12 x = 2 So we found the value of x, which is 2. To find y, insert 2 into one of the original equations. I am going to use 2x + y = 9 2x + y = 9 2(2) + y = 9 4 + y = 9 -4 + 4 + y = 9 - 4 y = 9 - 4 y = 5 y = 5.
