Question

Solve the system of equations below.

Answer 1

B

Explanation:

So we have the system of equations:

`x-2y=3\\2x-3y=9`

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

`x=3+2y`

Now, substitute this into the secon equation:

`2(3+2y)-3y=9`

Distribute the 2:

`6+4y-3y=9`

Combine like terms:

`6+y=9`

Subtract 6 from both sides:

`y=3`

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

`x=3+2(3)`

Multiply:

`x=3+6`

Add:

`x=9`

So, our answer is (9,3)

And we're done!