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 + 24y = 4x - 21Since 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 - 21Now 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 - 45Now we subtract 4x from both sides so the 4x shift to the other side-5x - 4x = 4x - 4x - 45-9x = -45Finally divide both sides by -9 so x is by itself(-9)÷(-9x) = -(45)÷(-9)x = 5Since 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 Yy = -5x + 24 or y = 4x - 21(I'll do both but u only need one)y = -5(5) + 24 y = -25 + 24 y = -1y = 4(5) - 21y = 20 - 21 y = -1Either way, X is 5 and Y is -1Answer (5, -1)