Use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x+3y=31 2x+3y=25

(2,7)

Step-by-step explanation:

5x+3y=31

2x+3y=25

Multiply the second equation by -1

-2x -3y = -25

Add this to the first equation

5x+3y=31

-2x-3y=-25

3x  = 6

Divide each side by 3

3x/3 = 6/3

x =2

Now we need to solve for y

5x+3y = 31

5*2 +3y = 31

10+3y = 31

Subtract 10 from each side

10-10 +3y = 31-10

3y = 21

Divide by 3

3y/3 = 21/3

y= 7

x = 2

y = 7

Step-by-step explanation:

in order to solve this system of equation using elimination method we say let

5x+3y=31 equation 1

2x+3y=25 equation 2

step 1

you are going to add -1 to equation 2 so u can have a negative sign

2x+3y=25 equation 2

-1 (2x) + -1(3y) = -1(25)

after multiplying we have

-2x - 3y = -25  equation 3

Step 2

add equation 1 and equation 3 together

5x+3y=31 equation 1

+

-2x - 3y = -25  equation 3

we have,

3x = 6

divide both sides by the coefficient of x which is 3

we have ,

3x/3 = 6/3

x = 2

put the value of x = 2 in equation 2

2x+3y=25 equation 2

2(2) + 3y = 25

4 + 3y = 25

collect the like terms

3y = 25 - 4

3y = 21

divide both sides by 3

3y/3 = 21/3

y = 7

therefore the value of x = 2 and value of y = 7 respectively.

could you reply to this with the question so i can ?

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.