Question

Consider the system of equations. 2x + 6y = 10 4x + 12y = 20 What is the solution to the system of equations? o (-5/3,-20/9) o (0,- 5/3) o infinitely many solutions o no solution

Answer 1

infinitely many solutions.

Explanation:

2x + 6y = 10

4x + 12y = 20

Divide both sides of the first equation by 2.

Divide both sides of the second equation by 4.

x + 3y = 5

x + 3y = 5

Since the equations are equal, there is only only equation.

Therefore, the solution of the system of equations is all points that satisfy the equation x + 3y = 5. There is an infinite number of solutions.