Question

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

Line A: 3x + 3y = 12
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (4 points)


It is (12, 4).

There are infinitely many solutions.

It is (4, 12).

There is no solution.

Answer 1

there are equivalent equations just like there are equivalent fractions.

x + y = 4....multiply this entire equation by 3
3(x + y) = 3(4) = 3x + 3y = 12 ...this is the exact same line as the other equation.
This means ur lines are equivalent, they are the same line.
This means there is infinite solutions <==