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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.

asked
User Ibis
by
7.9k points

2 Answers

2 votes

Answer:

D. There is no soltution sorry this answer is reallyyyy late :(

Explanation:

answered
User Pihu
by
8.2k points
4 votes
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


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