Use elimination to solve the system of equations. –4x+5y=17–4𝑥+5𝑦=17 4x+6y= –6

Sure, let's solve the system of equations using the elimination method.

The system of equations is:

-4x + 5y = 17 4x + 6y = -6

Step 1: Add the two equations together. The x terms will cancel out:

-4x + 4x + 5y + 6y = 17 - 6 11y = 11

Step 2: Divide both sides by 11 to solve for y:

y = 11 / 11 y = 1

Step 3: Substitute y = 1 into the first equation to solve for x:

-4x + 5(1) = 17 -4x + 5 = 17 -4x = 17 - 5 -4x = 12

Step 4: Divide both sides by -4 to solve for x:

x = 12 / -4 x = -3

So, the solution to the system of equations is x = -3, y = 1.