Solve the system of equations. y = - 5x + 24 y = 4x - 21 a. (-5, - 1) c. (-1, 5) b. (5, - 1) d. No solution

y = - 5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = - 5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = - 45

Finally divide both sides by - 9 so x is by itself

(-9) : (-9x) = - (45) : (-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = - 5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = - 5 (5) + 24

y = - 25 + 24

y = - 1

y = 4 (5) - 21

y = 20 - 21

y = - 1

Either way, X is 5 and Y is - 1

Answer (5, - 1)