Question

Given the equations `2x + 4/3 y = 1` and `y - 9/13 x = 9`, by what factor would you multiply the first equation so that combining the two equations would eliminate x? A. `-9/26` B. `9/26` C. `1/2` D. `-9/13`

Answer 1

B. 9/26.

Explanation:

You need to change the coefficient of x in the first equation to 9/13 so that adding the 2 equations would eliminate x.

So you would multiply by

= 9/13 / 2

= 9/13 * 1/2

= 9/26 (answer)

Answer 2

The correct option is B)
`(9)/(26)`

Explanation:

Consider the provided equations:

`2x+(4)/(3)y=1` and
`y-(9)/(13)x=9`

The above equation can be written as:

`2x+(4)/(3)y=1` and
`-(9)/(13)x+y=9`

As it is given that we need to eliminate the variable x.

Multiplying the equation
`2x+(4)/(3)y=1` with
`(9)/(26)`.

Therefore,

`(9)/(26)2x+(9)/(26)*{(4)/(3)y}=1*{(9)/(26)}`

`(9)/(13)x+(9)/(26)*{(4)/(3)y}=1*{(9)/(26)}`

Therefore, the correct option is B)
`(9)/(26)`