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

Answer:

B.   9/26.

Step-by-step 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

Answer:

The correct option is B) $\frac{9}{26}$

Step-by-step explanation:

Consider the provided equations:

$2x+\frac{4}{3}y=1$ and $y-\frac{9}{13}x=9$

The above equation can be written as:

$2x+\frac{4}{3}y=1$ and $-\frac{9}{13}x+y=9$

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

Multiplying the equation $2x+\frac{4}{3}y=1$ with $\frac{9}{26}$.

Therefore,

$\frac{9}{26}2x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}$

$\frac{9}{13}x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}$

Therefore, the correct option is B) $\frac{9}{26}$