Question

Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?

Answer 1

Elimination (multiplication and subtraction)

There is 1 solution

Explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)