Answer:
y=4
Step-by-step explanation:
We are given the expression:
[tex]-3x+9y=18[/tex]
We want to find [tex]y[/tex] when [tex]x[/tex] equals 6. Therefore, we can plug 6 in for x.
[tex]-3(6)+9y=18[/tex]
Now, let's begin solving for y. First, multiply -3 and 6.
[tex]-18+9y=18[/tex]
Next, add 18 to both sides of the equation. We add because 18 is negative and addition will cancel out the -18 on the left.
[tex]-18+18+9y=18+18[/tex]
[tex]9y=18+18[/tex]
[tex]9y=36[/tex]
Finally, divide both sides by 9. We divide because y is being multiplied by 9, and division is the inverse of multiplication.
[tex]9y/9=36/9[/tex]
[tex]y=36/9[/tex]
[tex]y=4[/tex]
When x=6 in the equation, y is equal to 4.
