Question

*WILL GIVE BRIANLIEST*(08.01)Two lines, A and B, are represented by the following equations:

Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.

Answer 1

there are infinitely many solutions.
you know that you need 2 equations to solve for 2 variables. but in this one, if you take the first equation and divide each side by 4, you get the second equation. so they're really both the same equation, and you really only have one. if you graph them, they're both the same line, and every point on the line is a solution to both equations. so there's really only one.

Answer 2

If you divide the first equation by 4, you will see that it's exactly the same as the second one. So the only true statement is that there are infinitely many solutions.