Let's mark each of these equations as A and B, to keep them straight.
A: 4x−3y=26
B: 3x+2y=11
Because there are opposite signs in A and B, using elimination is the best method. We start by multiplying A by 2 and B by 3.
8x - 6y = 52
9x + 6y = 33
We chose 2 and 3 because we can add the equations together and the y term goes away. When doing elimination, the goal is to look for opposites or the same number and eliminate (hence the name) one of the variables.
17x = 85 is what's left after we add the equations. When we divide both sides by 17, we get that x = 5.
Now that we know x = 5, we put that back into an original equation to find y. Let's choose B. (You can pick either original equation.)
3x + 2y = 11 is our original equation
3 * 5 + 2y = 11 we let x = 5
15 + 2y = 11
2y = -4 subtract 15 on both sides
y = -2 divide by 2 on both sides
Thus x = 5 and y = -2 is our solution. As an ordered pair, it's (5, -2) - the 2nd one in the list.
