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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)​

Sagot :

Answer:

(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)