Question

Given the equations 2x+4/3 y=1 and y-9/13 x=9, by what factor would you multiply the first equation so that combining the two equations would eliminate x?

-9/26
9/26
1/2
-9/13

Answer 1

i think its -9/26 hope this helps

Answer 2

9/26

Explanation:

`2x+(4)/(3) y=1 \ and \ y-(9)/(13)x=9`

To eliminate variable x we need to make the coefficient of x same and different signs.

`2x+(4)/(3) y=1 \ and \ -(9)/(13)x+y=9`

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