Question

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

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

4x + 4y = 16
x + y = 4 /*(-4)
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4x + 4y = 16
-4x - 4y = - 16
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0 = 0

The correct result would be: There are infinitely many solutions.