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. $\frac{9}{26}$

Step-by-step explanation:

We have the following equations:

$2x + \frac{4}{3}y = 1$       (1)

$y -\frac{9}{13}x=9$          (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.$a = 2$

$b = -\frac{9}{13}$

So

$2z-\frac{9}{13} = 0$

We solve the equation for z

$2z=\frac{9}{13}$

$z=\frac{9}{26}$

The first equation must be multiplied by a value of $\frac{9}{26}$