Question

Solve the system of equations and choose the correct ordered pair. 5x+2y= 19 4x-3y = 6

Answer 1

Answer:

(3, 2)

Step-by-step explanation:

First, we have to eliminate a variable:

3(5x+2y = 19 )

2(4x-3y = 6)

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15x+6y = 57

8x-6y = 12

Now we add the system of equations together:

15x+8x+6y-6y = 57+12

23x = 69

/23   /23

x = 3

Now we can 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

Therefore, the solution to these system of equations is (3, 2)

Answer 2

Answer:

The solution of given system of equation is (3,2).

Step-by-step explanation:

The given system of equations is

$5x+2y=19$            .... (1)

$4x-3y=6$              .... (2)

Solve the system of equations using elimination method.

Multiply equation (1) by 3 and multiply equation (2) by 2.

$15x+6y=57$            .... (3)

$8x-6y=12$              .... (4)

Now, add the equations (3) and (4), to eliminate y.

$15x+8x=57+12$

$23x=69$

Divide both sides by 23.

$x=3$

The value of x is 3. Substitute x=3 in equation (1), to find the value of y.

$5(3)+2y=19$

$15+2y=19$

Subtract 15 from both the sides.

$2y=19-15$

$2y=4$

Divide both sides by 2.

$y=2$

The value of y is 2.

Therefore the solution of given system of equation is (3,2).