Will give ! what is the solution to the system of equations? 4x−3y=26 3x+2y=11 (8, 2) (5, −2) (−2, 5) (5, 2)

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.

answer for #1 is c

answer for #2 is d

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