Question

The solution to the system of equations is _____.

7x - 3y = 4
2x - 4y = 1

A. (13/34, -15/34)
B. (3/22, -7/22)
C. (13/22, 1/22)

Answer 1

the correct answer is c.

Answer 2

C. (
`(13)/(22),(1)/(22))`

Explanation:

We are given that a system of equations

`7x-3y=4`

`2x-4y=1`

We have to find the solution of the system of equation .

Using elimination method,

Multiply first equation by 2 and equation second multiply by 7

Then, we get

`14x-6y=8`

`14x-28y=7`

Now, subtract equation second from first equation

`22y=1`

`y=(1)/(22)`

Subtract the value of y in equation first

Then, we get

`7x-3* (1)/(22)=4`

`7x-(3)/(22)=4`

`7x=4+(3)/(22)=(91)/(22)`

`x=(91)/(22)* (1)/(7)=(13)/(22)`

Hence, the solution of given system is (
`(13)/(22),(1)/(22))`