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

Line A: 2x + 2y = 8
Line B: x + y = 4

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

It is (8, 4).
It is (4, 8).
There is no solution.
There are infinitely many solutions.

Question

Two lines, A and B, are represented by the equations given below:

Line A: 2x + 2y = 8
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

 It is (8, 4).
 It is (4, 8).
 There is no solution.
 There are infinitely many solutions.

skullpatrol · Answer

Any ideas?

anonymous · Answer

Someone helped me with this before and said it was infinite, but I don't think it's the right answer because when I plug in a number it doesn't work

skullpatrol · Answer

What number are you  plugging in?

anonymous · Answer

I used 2

anonymous · Answer

wait.

anonymous · Answer

2 works but any other number doesn't

skullpatrol · Answer

You can not just use one number, you need two numbers x and y, right?

anonymous · Answer

yes

skullpatrol · Answer

Multiply line B by 2 on both sides, what do get?

anonymous · Answer

Im not sure what you mean

puppylover52 · Answer

its 2 times$$its 2\times2+2\times2=8$$

skullpatrol · Answer

Line B: x + y = 4 

multiplying both sides by 2

2*(x + y) = 2*4
 
2x + 2y = 8 

This^ is exactly the same as line A

Therefore they are the same line.

skullpatrol · Answer

Two lines, A and B, are represented by the equations given below:

Line A: 2x + 2y = 8
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

 It is (8, 4).
 It is (4, 8).
 There is no solution.
 There are infinitely many solutions. Answer

skullpatrol · Answer

All the points that satisfy line A will also satisfy line B because they are the same line. 

Recall to satisfy an equation means those values of the variable that make it a true statement.