how do you solve the system x-y=11 and y=-2x+19

Answer 1

To solve the system:

x - y = 11

y = -2x + 19

You can substitute the second equation into the first by replacing y with -2x + 19:

x - (-2x + 19) = 11

Simplifying:

x + 2x - 19 = 11

Combining like terms:

3x - 19 = 11

Add 19 to both sides:

3x = 30

Divide both sides by 3:

x = 10

Now that you have the value of x, you can substitute it back into one of the original equations to find y. Using the second equation:

y = -2(10) + 19

Simplifying:

y = -1

Therefore, the solution to the system is x = 10 and y = -1.