Question

Given the equation 2X +4/3 Y equals one and Y -9/13 x=9 by what Vector 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: Option B

B.
`(9)/(26)`

Explanation:

We have the following equations:

`2x + (4)/(3)y = 1` (1)

`y -(9)/(13)x=9` (2)

Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.

Then we must multiply the number "a" by a value z such that when adding
`az + b` the result is zero.
`a = 2`

`b = -(9)/(13)`

So

`2z-(9)/(13) = 0`

We solve the equation for z

`2z=(9)/(13)`

`z=(9)/(26)`

The first equation must be multiplied by a value of
`(9)/(26)`