Question

Given the equations ‘2x+ 4/3y=1’ and ‘y-9/13x=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

The right answer is Option B: 9/26

Explanation:

Given equations are;

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

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

For eliminating x, we will make the variables equal with opposite signs.

In Eqn 1;

We will multiply Eqn 1 by 9/26 to get +9/13x.

`(9)/(26)(2x+(4)/(3)y=1)\\\\(9)/(13)x+(6)/(13)y=(9)/(26)`

Therefore;

We will multiply Eqn 1 by 9/26.

The right answer is Option B: 9/26