Question

Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

Answer 1

The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

✔️ 2x + 3(8 - 3x) = 3

What is the value of x?

✔️ 3

What is the value of y?

✔️ -1

Explanation:

Answer 2

Resulting equation:
`-7x+24=3`

`x=3, y=-1`

Explanation:

`2x+3y=3\dots(1)\\y=8-3x\dots(2)\\`

substitute the value of
`y` in equation
`(1)`

`2x+3(8-3x)=3\\2x+24-9x=3\\-7x+24=3\\-7x=3-24\\-7x=-21\\x=3\\y=8-3x\\y=8-3*3\\y=8-9\\y=-1`