Question

f 4x + 3y = 90 and (x - y ) / x = 24/9 then find the value of 6x + 2y.​

Answer 1

Answer:

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Answer 2

Answer:

The value of $6x+2y$ is $-240$.

Step-by-step explanation:

Given equations are $4x+3y=90$

$\frac{x-y}{x}=\frac{24}{9}$.

We need to find the value of $6x+2y$.

Take the second equation and cross multiply,

$9(x-y)=24x$

$9x-9y=24x$

Taking $x$ terms on one side,

$15x=-9y$

$5x=-3y$

$-5x=3y$

Now substitute the value in the equation $4x+3y=90$.

$4x+(-5x)=90$

$-x=90$

$x=-90$

We have the value of $x$. Now substitute this value in the equation $-5x=3y$.

$-5(-90)=3y$

$3y=450$

$y=150$.

We have the values of both $x$ and $y$.

Substitute these values in the equation $6x+2y$,

$6x+2y=6(-90)+2(150)$

$=-540+300$

$6x+2y=-240$

Therefore, the value of the equation $6x+2y$ is $-240$.