Solve the system of equations.

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

(5, - 1 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 24 → (1)

y = 4x - 21 → (2)

Substitute y = 4x - 21 into (1)

4x - 21 = - 5x + 24 ( add 5x to both sides )

9x - 21 = 24 ( add 21 to both sides )

9x = 45 ( divide both sides by 9 )

x = 5

Substitute x = 5 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 4(5) - 21 = 20 - 21 = - 1

solution is (5, - 1 )

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step-by-step explanation: