Answer:
9/26
Step-by-step explanation:
[tex]2x+\frac{4}{3} y=1 \ and \ y-\frac{9}{13}x=9[/tex]
To eliminate variable x we need to make the coefficient of x same and different signs.
[tex]2x+\frac{4}{3} y=1 \ and \ -\frac{9}{13}x+y=9[/tex]
In the first fraction the coefficient of x is 2 and i the second fraction the coefficient of x is 9/13
To find the factor that make the coefficient same , we divide 9/13 by 2
9/13 divide by 2 is 9/26
LEts multiply 9/26 and check
9/26 times 2x becomes 9/13 x
We already have same -9/13 x in the second fraction
When we add both x terms then it becomes 0. x will be eliminated
