Two lines, A and B, are represented by the following equations:

Line A: 2x + 2y = 8

Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).

There are infinitely many solutions.

It is (2, 2).

There is no solution.

Question

Mathematics

Tatiana Hayden

12 July, 20:40

Two lines, A and B, are represented by the following equations:

Line A: 2x + 2y = 8

Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).

There are infinitely many solutions.

It is (2, 2).

There is no solution.

+3

Answers (1)

Know the Answer?

Jayvon Medina · Answer 1

Line A: 2x+2y=8 ⇒2y=-2x+8 ⇒ y=-x+4

Line B: x+y=3 ⇒y=-x+3

Therefore: y=y then:

-x+4=-x+3

-x+x=3-4

0≠-1 ⇒There is no solution because the lines are parallels

Answer: There is no solution

Two lines, A and B, are represented by the following equations:Line A: 2x + 2y = 8Line B: x + y = 3Which statement is true about the solution to the set of equations?It is (1, 2).There are infinitely many solutions.It is (2, 2).There is no solution.

Two lines, A and B, are represented by the following equations:

Line A: 2x + 2y = 8

Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).

There are infinitely many solutions.

It is (2, 2).

There is no solution.