Write the word or phrase that best completes each statement or answers the question.
-5x + 3y = 80 2x + y = 30
A) (10, 0)
B) (0, 0)
C) (0, 10)
D) (10, 10)

Question

Quizplus · Accepted Answer

To solve the system of equations, we can use substitution or elimination. Using elimination, we can multiply the second equation by -3 and add it to the first equation to eliminate y:

5x + 3y = 80 
-6x - 3y = -90 
---------------- 
-x = -10

Solving for x, we get x = 10. Substituting back into the second equation, we can solve for y:

2x + y = 30 
2(10) + y = 30 
y = 10

Therefore, the solution is (10, 10). Choice letter D is the only option that represents (10, 10).

Write the Word or Phrase That Best Completes Each Statement