Question

Solve the system of equations using elimination. How many solutions does the system have?

15x + 12y = 18
5x + 4y = 6

Answer 1

infinite solutions

Explanation:

The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:

(15x +12y) -3(5x +4y) = (18) -3(6)

0 = 0 . . . . . simplify (true for all values of x or y)

The system of equations has an infinite number of solutions.