Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y = 6 2x + y = 5

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

4x - 2y = 6

2x + y = 5

Options:

A) -4x - 2y = 10

-4y = 4

B) -4x - 5y = -1

-7y = 5

C) 3x + 2y = 6

7x = 12

D) 4x + 2y = 10

8x = 16

Option D

The equivalent system of linear equations that will produce the same solution as the one given is 4x + 2y = 10  and 8x = 16

Given system of equations are:

4x - 2y = 6   --------- eqn 1

2x + y = 5  ------- eqn 2

Multiply eqn 2 by 2

2(2x + y = 5)

4x + 2y = 10 --------- eqn 3

Add eqn 1 and eqn 3

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

8x = 16

x = 2

Substitute x = 2 in eqn 1

4(2) - 2y = 6

8 - 2y = 6

2y = 8 - 6

2y = 2

y = 1

Thus the solution of given system of equations is (x , y) = (2, 1)

Given system of equations are:

-4x - 2y = 10  ---- eqn 1

-4y = 4  --- eqn 2

Substitute the obtained solution (x, y) = (2, 1) in above equations and check if it makes the equation true

From eqn 2,

-4(1) = 4

Thus this option does not produce the same solution as the one given

-4x - 5y = -1   ----- eqn 1

-7y = 5   ------- eqn 2

Substitute the obtained solution (x, y) = (2, 1) in above equations and check if it makes the equation true

From eqn 2,

Thus this option does not produce the same solution as the one given

3x + 2y = 6  ------ eqn 1

7x = 12 --------- eqn 2

Substitute the obtained solution (x, y) = (2, 1) in above equations and check if it makes the equation true

From eqn 2,

Thus this option does not produce the same solution as the one given

4x + 2y = 10   ------ eqn 1

8x = 16 -------- eqn 2

Substitute the obtained solution (x, y) = (2, 1) in above equations and check if it makes the equation true

From eqn 2,

8(2) = 16

16 = 16

Also,

from eqn 2,

8x = 16

x = 2

substitute x = 2 in eqn 1

4(2) + 2y = 10

8 + 2y = 10

2y = 2

y = 1

Thus solution is (2, 1)

Thus this option produce the same solution as the one given

answer: i think it's a

step-by-step explanation:

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it