1

Problem

Solve the following system of equations using the cross multiplication method:

5x - y = 11 and 3x + 2y = 4.

2

Step

The given equation - 1 is:

5x - y = 11

3

Step

The given equation - 2 is:

3x + 2y = 4

4

Step

Multiplying equation 1 by 2 produces equation 3:

10x - 2y = 22

5

Step

Combine equation 1 and 3 into a single expression:

10x - 2y = 22

3x + 2y = 4

6

Step

After simplification:

13x + 0 = 26

7

Step

Find the x value:

13x = 26

x = 2

8

Step

Replace the x value in the equation - 1, then solve for y:

10 - y = 11

y = - 1

9

Solution

So, therefore the values of x = 2 and y = 1.

10

Sumup

Please summarize steps

Choices

11

Choice-A

After solving the system of equations, we found x = 2 and y = −1. Therefore, this option is incorrect

Wrong x = 2 and y = 0

12

Choice-B

This option is incorrect as it doesn’t match the solutions we found x = 2 and y = -1

Wrong x = 5 and y = -1

13

Choice-C

This option suggests the solution is x = 2 and y = -1. After solving the system of equations, we indeed found that x = 2 and y = -1, so this option is correct

Correct x = 2 and y = - 1

14

Choice-D

This option suggests the solution is x = -7 and y = 3. After solving the system of equations, we found that x = 2 and y = -1. Therefore, this option is incorrect

Wrong x = -7 and y = 3

15

Answer

Option

C

16

Sumup

Please summarize choices