Solve the system of linear equations by elimination.
5d + 7f = 16
-5d - 3f = -24
A) (6, -2)
B) (-2, 6)
C) (-6, -2)
D) (-2, -6)

Question

Quizplus · Accepted Answer

Explanation:Add the two equations to eliminate the variable d.5d + 7f = 16-5d - 3f = -24-----------------0 + 4f = -8Divide both sides by 4 to solve for f.4f = -8f = -2Substitute the value of f back into one of the original equations to solve for d.5d + 7(-2) = 165d - 14 = 165d = 30d = 6Therefore, the solution to the system of equations is (6, -2).

Solve the System of Linear Equations by Elimination