Question

Solve the following using elimination meathod :
5x+4/y=9. And. 7x-2/y=5

Answer 1

Answer:

Step-by-step explanation:

5x+4/y=9------ (1)

7x-2/y=5--------(2)

Multiply eq.(1)by 2&eq.(2)by 4

10x+8/y=18-------(3)

28x-8/y=20-------(4) Solve eq. (3)&(4)

38x=38

X=1

Substitute x in eq. (1)

5(1)+4/y=9

4/y=4

y=1

Answer 2

The value of x & y is going to be 1 using the elimination method

Step-by-step explanation:

Given:

equations are given as 5x+4/y=9 &  7x-2/y=5

To find:

solve using the elimination method

Solution:

The elimination method is used by eliminating one of the variables in the linear equation

Two of the linear equations are

5x+4/y=9 & 7x-2/y=5

Let's say 5x+4/y=9......(1) & 7x-2/y=5......(2)

Multiplying equation (2) by the number 2 to eliminate the like terms

we get, 14x-4/y=10......(3)

Now, we add equations (1) & (3) to eliminate the variable y and get the value of x

$5x+\frac{4}{y} =9\\\\14x-\frac{4}{y}=10$

                       

$19x= 19$.......................(canceling like terms 4/y, adding the other like terms)

                         

∴ 19x = 19

∴ x= 19/19

∴ x= 1

Substituting this value of x in an original equation

Let's take equation (1)

$5x+\frac{4}{y}= 9$

$5(1)+\frac{4}{y}= 9$.............(putting the value of x as 1)

$5+\frac{4}{y}= 9$

$\frac{4}{y}= 9-5$

$\frac{4}{y}= 4$

$4= 4y$

∴ 4 =4y

∴ y= 4/4

∴ y= 1

Thus, the value of x & y using the elimination method will be 1 & 1 respectively.

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