1

Problem

Solve the following system of equations:

2x - 3y = 4 and 5x + y = 10.

2

Step

The given equation - 1 is:

2x - 3y = 4

3

Step

The given equation - 2 is:

5x + y = 10

4

Step

Multiply equation - 2 by 3 yields equation - 3:

15x + 3y = 30

5

Step

Add the equation - 1 and equation - 3:

15x + 3y = 30

2x - 3y = 4

6

Step

After simplification:

17x + 0 = 34

7

Step

Find the x value:

\$x = (34)/(17)\$

x = 2

8

Step

Replace the x value in the equation - 1, then determine the corresponding y value:

4 - 3y = 4

y = 0

9

Solution

So, the value of x = 2 and y = 0.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This option suggests the solution is x = 2 and y = 0. After solving the system of equations, we found that x = 2 and y = 0, so this option is correct

Correct x = 2 and y = 0

12

Choice-B

This option suggests the solution is x = 5 and y = -1. However, after solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect

Wrong x = 5 and y = -1

13

Choice-C

This option suggests the solution is x = -2 and y = 4. After solving the system of equations, we found that x = 2 and y = 0, so this option is incorrect

Wrong x = -2 and y = 4

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 = 0, so this option is incorrect

Wrong x = -7 and y = 3

15

Answer

Option

A

16

Sumup

Please summarize choices