Question

What solution does this equation have: -2x+5y=10 and -4x+10y=20? A.) the only solution is (5,4) B.) there are infinitely many solutions C.) the only solution is (10,6) D.) there are no solutions

Answer 1

B.) there are infinitely many solutions

Explanation:

The second equation is twice the first. They are "dependent" equations, both describing the same line. Every point on that line is a solution to both equations. So, there are infinitely many solutions.