Question

Identify the solution(s) of the system of equations, if any.

5x + 2y = 2

4x - 2y = 8

A) (9/10, -5/4 )

B) (–6, 16)

C) (10/9, -16/9 )

D) (10, –24)

Answer 1

What is your answer

Answer 2

You're right.

Answer 3

thank you!

Answer 4

Actually it is C not B

Answer 5

5x + 2y =2

4x -2y = 8

9x = 10

9x/9 = 10/9

x = 10/9

4x -2y = 8
4(10/9) -2y = 8
40/9 -2y = 8
-2y = 8-40/9
-2y = (72-40)/9
-2y = 32/9

y = (32/9)*(-1/2)

y = -16/9

(10/9, -16/9)

C

You're right

Answer 6

[AI-generated answer — Explain Bot]

To find the solution(s) of the system of equations, you can use the method of elimination.

First, let's add the two equations together to eliminate the y term:

(5x + 2y) + (4x - 2y) = 2 + 8

Combining like terms, we get:

9x = 10

Next, we solve for x by dividing both sides of the equation by 9:

x = 10/9

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

5(10/9) + 2y = 2

Multiplying 5 by 10/9, we get:

50/9 + 2y = 2

Subtracting 50/9 from both sides of the equation:

2y = 2 - 50/9

Combining the right side:

2y = 18/9 - 50/9

Simplifying:

2y = -32/9

Dividing both sides by 2:

y = -16/9

Therefore, the solution to the system of equations is (10/9, -16/9).

So, the correct answer is C) (10/9, -16/9).