204k views
12 votes
Which system of equations has the same solution as the system below?

2x+2y=16
3x-y=4
a. 2x+2y=16 b. x+y= 16
6x-2y=8 3x-y=4

c. 2x+2y=16 d. 6x+6y=48
6x-2y=8 6x+2y=8

User Wishi
by
8.8k points

1 Answer

9 votes

Answer: Both A, and C

Explanation:

The answer to the first system of equations (2x+2y=16) would be

x=3 and y=5 ( 3x-y=4 )

Which means we have to find out which of the other equations has an x value of 3, and a y value of 5.

If A is 2x+2y=16, then x=3 and y=5

6x-2y=8

If B is x+y=16, then x=5 and y=11

3x-y=4

If C is 2x+2y=16, then x=3 and y=5

6x-2y=8

If D is 6x+6y=48 , then x=-2 and y=10

6x+2y=8

Both A and C are equal to the first system of equations, which means they are both correct answers.

User Andep
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.