Question

pls help me on 109 I got it wrong :c

Answer 1

30

Explanation:

Let's start by multiplying the equation through bt the least common denominator so that we can clear the denominator:

`(2)/(5)x+(1)/(3)y=1`

The least common of 3 and 5 is 15, so we can multiply through by 15:

`15((2)/(5)x+(1)/(3)y)=15(1)\\6x+5y=15`

We want the left side of the equation to be 12x + 10y. We can get this if we multiply the expression we currently have (6x + 5y) by 2. However, if we multiply the left side by 2, we must also multiply the right side by 2 to balance out the equation. If we do this, we will get our answer:

`2(6x+5y)=2(15)\\12x+10y=30`

On the right side, we get 30. Therefore, the answer is 30