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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’

Respuesta :

absor201

The right answer is Option B: 9/26

Step-by-step explanation:

Given equations are;

[tex]2x+\frac{4}{3}y=1[/tex]     Eqn 1

[tex]y-\frac{9}{13}x=9[/tex]     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.

[tex]\frac{9}{26}(2x+\frac{4}{3}y=1)\\\\\frac{9}{13}x+\frac{6}{13}y=\frac{9}{26}[/tex]

Therefore;

We will multiply Eqn 1 by 9/26.

The right answer is Option B: 9/26