## Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x – 3y – 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)​

Question

Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x – 3y – 6 A (3,5) B. (5-3) C. (5,3) D. (3,2)​

in progress 0
3 years 2021-08-06T18:00:14+00:00 2 Answers 26 views 0

## Answers ( )

(3,2)

Step-by-step explanation:

5x+2y= 19

4x – 3y = 6

I will use elimination

Multiply the first equation by 4

20x +8y = 76

Multiply the second equation by -5

-20x +15y = -30

Add them together to eliminate x

20x +8y = 76

-20x +15y = -30

—————————

23y = 46

Divide by 23

23y/23 = 46/23

y =2

Now find x

5x+2y =19

Substitute y=2

5x+2(2) =19

5x+4 = 19

Subtract 4 from each side

5x +4-4 =19-4

5x= 15

Divide by 5

5x/5 = 15/5

x=3

The solution is

(3,2)

D. (3,2)

Step-by-step explanation:

Firstly, eliminate a variable:

3(5x+2y = 19 )

2(4x-3y = 6)

Now, plug this value back into one of the equations to get y:

5(3)+2y = 19

15+2y = 19

-15         -15

2y = 4

/2     /2

y = 2