Question

The table below represents the value of the equation 2x+y=7 for x=0,1,2.....8

1. Find the value of A
2. Find the value of 2b
​

Answer 1

Q10: a = 1 (Choice D)

Q11. 2b = -10 (Choice A)

Explanation:

The given equation is

`2x + y = 7`

We can rewrite this equation with y on the left side and other terms on the right:

Subtract
`2x` from either side:

`2x + y - 2x = 7 - 2x\\\\y = 7 - 2x\;\;\cdots \cdots(1)\\`

Q10

The value of
`y = a` corresponds to an
`x` vlaue of
`6`

Plug in
`x = 3` into the equation
`(1)` :


`a = 7-2(3)\\\\a = 7 - 6\\\\a = 1\\\\` ANSWER

Q11
We can find b using the same technique as Q10

`b = 7 - 2(6)\\\\b = 7-12\\\\b = -5\\\\`

Therefore

`2b = 2(-5) = -10` ANSWER