1

Problem

Find the values of x and y that make both equations true:

3x - 2y = 1 and 4x + y = 5.

2

Step

The given equation - 1 is:

3x - 2y = 1

3

Step

The given equation - 2 is:

4x + y = 5

4

Step

When equation - 2 is doubled, it equals equation - 3:

8x + 2y = 10

5

Step

Add equation - 3 and equation - 1:

8x + 2y = 10

3x - 2y = 1

6

Step

After simplification:

11x - 0 = 11

7

Step

Solve for x value:

11x = 11

x = 1

8

Step

Plug the x value in equation - 2, then slove for y value:

4 + y = 5

y = 1

9

Solution

The values of x = 1 and y = 1.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This option is incorrect because x should be 1, not 2, and y is correct

Wrong x = 2 and y = 1

12

Choice-B

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

Correct x = 1 and y = 1

13

Choice-C

This option is incorrect because x should be 1, not 3, and y should be 1, not 2

Wrong x = 3 and y = 2

14

Choice-D

This option suggests the solution is x = 4 and y = 5. After solving the system of equations, we found that x=1 and y=1. Therefore, this option is incorrect

Wrong x = 4 and y = 5

15

Answer

Option

B

16

Sumup

Please summarize choices