Question

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x − 2y = 6
2x + y = 5


−4x − 2y = 10
−4y = 4

−4x − 5y = −1
−7y = 5

3x + 2y = 6
7x = 12

4x + 2y = 10
8x = 16

Answer 1

Answer: d

Step-by-step explanation: x = 2 and y=1

Answer 2

The equivalent system of linear equations that will produce the same solution is:

4x + 2y = 10

8x = 16

Explanation:

firstly we solve the system of equations:

4x − 2y = 6 -(1)

2x + y = 5 -(2)

equation (2) multiply by 2 and adding both equations

4x-2y+4x+2y=6+10

8x=16

equation (2) multiply by 2 equals:

4x+2y=10

Hence, the equivalent system of linear equations that will produce the same solution is:

4x + 2y = 10

8x = 16