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

Answer:

C. ($\frac{13}{22},\frac{1}{22})$

Step-by-step 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

$22y=1$

$y=\frac{1}{22}$

Subtract the value of y in equation first

Then, we get

$7x-3\times \frac{1}{22}=4$

$7x-\frac{3}{22}=4$

$7x=4+\frac{3}{22}=\frac{91}{22}$

$x=\frac{91}{22}\times \frac{1}{7}=\frac{13}{22}$

Hence, the solution of given system is ($\frac{13}{22},\frac{1}{22})$