Question

Solve x-2y =6 3x-6y =18

Answer 1

X - 2y = 6
3x - 6y = 18

It looks to me like substitution is the best method for solving this system. To do that, I can isolate x on the first equation and substitute its expression for x in the second equation:

x - 2y = 6
x = 2y + 6

Now substitute into the second equation:

3(2y + 6) = 18
6y + 6 = 18
6y = 12
y = 2

Substitute the value for y into the first equation to find x:

x - 2(2) = 6
x -4 = 6
x = 10

Finally, substitute both values into both original equations to check work:

10 - 2(2) = 6    -->    10 - 4 = 6    <--This is correct
3(10) - 6(2) = 18     -->    30 -12 = 18    <--This is correct

Hope this helps.

Answer 2

Answer:

infinitely many solutions

Step-by-step explanation: