For the equation 3x + y = 15, when x is 2, y is 9; when x is 6, y is -3; when x is 0, y is 15; and when x is 3, y is 6.
To complete the table for the equation 3x + y = 15, substitute the given values of x into the equation to find the corresponding values of y:
1. For x = 2:
![\[ 3(2) + y = 15 \implies 6 + y = 15 \implies y = 9 \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3vdickkhsiqw6ouivwazwit98ix13iktll.png)
2. For x = 6:
![\[ 3(6) + y = 15 \implies 18 + y = 15 \implies y = -3 \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zc7nbnefrwi2mdidzdc33fm2sta8t7vjyq.png)
3. For x = 0:
![\[ 3(0) + y = 15 \implies 0 + y = 15 \implies y = 15 \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/752tovh1zn7j46f5c7vd69353lupwzfxfr.png)
4. For x = 3:
![\[ 3(3) + y = 15 \implies 9 + y = 15 \implies y = 6 \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h6g33k6qh7kf8jbbt90z544c7a4gxu8ch8.png)
So, the completed table is:
x 2 9 6 0 3
y 9 3 -3 15 6
The missing values for y when x = 2 and x = 3 are 9 and 6, respectively.
The complete question is:
Complete the table with values for x or y that make this equation true: 3x+y=15
x 2 ___ 6 0 3 ___ ___
y ___ 3 ___ ___ ___ 0 8