1

Problem

Determine the solution to the following system of linear equations:

3x + y = 2 and x - 2y = 1.

2

Step

The given equation - 1 is:

3x + y = 2

3

Step

The given equation - 2 is:

x - 2y = 1

4

Step

When equation - 1 is doubled, it becomes equation - 3:

6x + 2y = 4

5

Step

Combine equation 3 with equation 1 for a solution:

6x + 2y = 4

x - 2y = 1

6

Step

After simplification:

7x - 0 = 5

7

Step

Find for x value:

7x = 5

\$x = 5/7\$

8

Step

Plug the x value in equation - 2 to find the y value:

\$ 5/7 - 2y = 1 \$

\$y = - 1/7 \$

9

Solution

Finally the values of \$x = 5/7\$ and \$y = -1/7\$.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This choice is Incorrect because x doesn’t equal \$6/(11)\$

Wrong \$x = 6/(11)\$ and \$y = -1/7\$

12

Choice-B

This choice is correct because both x and y values match the solution

Correct \$x = 5/7\$ and \$y = -1/7\$

13

Choice-C

This option is incorrect because y doesn’t equal \$1/7\$

Wrong \$x = 5/7\$ and \$y = 1/7\$

14

Choice-D

This option is incorrect because x should be \$5/7\$, not \$-5/7\$

Wrong \$x = -5/7\$ and \$y = -1/7\$

15

Answer

Option

B

16

Sumup

Please summarize choices