To find the number of solutions, we can solve the first equation for x in terms of y:
x - 2y = 6
x = 6 + 2y
Now, we substitute this expression for x in the second equation:
3x - 6y = 18
3(6 + 2y) - 6y = 18
18 + 6y - 6y = 18
18 = 18
This equation is true for any value of y. So, there are infinitely many solutions for this system of equations.
How many solutions does this system of equations have?
x-2y=6 and 3x-6y=18
1 answer