Question

$\frac{7x - 2y}{xy} = 5 \\ \frac{8x + 7y}{xy} = 15$

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Answer 1

Step-by-step explanation:

your answer is in the attachment

Answer 2

Given

Two equation : 7x-2y=5xy-----(1)

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$8x+7y=15xy------(2)

To find

value of x and y

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Step by step explanation:

1. We can solve the above Equation in various ways here,we are going to solve through elimination method.
2. First step is to make the any one variable same of both the equation by multiplying with the coefficient of each variable's.
3. One variable /value will always be eliminate and we find the another variable's value.
4. At last we substitute the variable's value into another equation to find out the another variable's value.

=>7x-2y=5xy-----× 8

=>8x+7y=15xy-----×7

New Equation obtained:

=>56x-16y=40xy

=>56x+49y=105xy

$\:(-)\:(-)\:\:\:(-)$

_________________

-65y= -65xy

Here ,y is on both side so,it gets cancelled

-65= -65x

minus sign gets cancelled

=>65x=65

=>x=65/65=1

x=1

Put X's value into this equation

=>7x-2y=5xy

=>7(1)-2y=5(1)y

=>7-2y=5y

=>7= 7y

=>y=1

y=1

Therefore,x=1 & y= 1

Check:

=>7x-2y=5xy

=>7-2

=5

5xy= 5(1)(1)=5

LHS=RHS(verified)