3x-2y=2. 5x-5y=10 elimination method

x = - 2

y = - 4

Step-by-step explanation:

The given system of linear equations is expressed as

3x - 2y = 2- - - - - - - - - - - - -1

5x - 5y = 10- - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 5 and equation 2 by 3. It becomes

15x - 10y = 10- - - - - - - - - - -3

15x - 15y = 30- - - - - - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

5y = - 20

Dividing the the left hand side and the right hand side of the equation by 5, it becomes

5y/5 = - 20/5

y = - 4

Substituting y = - 4 into equation 1, it becomes

3x - 2 × - 4 = 2

3x + 8 = 2

3x = 2 - 8

3x = - 6

Dividing the the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 6/3

x = - 2

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.

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