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3 years ago

Which of these systems of equations would be best solved using the subtraction method?

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer:

Step-by-step explanation:

1. x+2y=6 or x=6-2y

3x-2y=2

3(6-2y)-2y=2

18-6y-2y=2

18-8y=2

-8y=-18+2

-8y=-16

y=-16/-8

y=2 ans.

x+2*2=6

x+4=6

x=6-4=2 ans.

Proof:

3*2-2*2=2

6-4=2

2=2

I leave the rest for you to practice with.

3. 4x+y=7

2x+5y=-1

5. 3x+2y=-2

6x-y=6

Solve the system using the elimination method. Show all your steps.

7. -3x+3y=3

3x+y=9 add.

---------------------------------

4y=12

y=12/4

y=3 ans.

3x+3=9

3x=9-3

3x=6

x=6/3

x=2 ans.

Proof:

-3*2+3*3=3

-6+9=3

3=3

I'll leave the rest for practice.

9. -5x+12y=20

x-2y=-6

11. 3x+2y=1

4x+ 6y= 7

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Write the measure -128 30' 45" as a decimal to the nearest thousandth

miv72 [106K]

Minutes are equal to 1/60ths and seconds are equal to 1/3600ths so

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3 years ago

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden

alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

$.75d+1.25g=21.00\\d+g=22$

I prefer to solve using substitution, but elimination can be used as well

$.75d+1.25g=21.00\\g=22-d$

We can now plug in this g value to the first equation

$.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13$

This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Let me know if you have any questions! Spread the love.

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2 years ago

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weqwewe [10]

Answer:

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Also see attached

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3 years ago

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How do you graph 4x=2y-3

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The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

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3 years ago

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The graphs of two linear equations ax + by = c and bx - ay = c, where a, b, c are all not equal to zero.

marin [14]

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3 years ago

Which of these systems of equations would be best solved using the subtraction​ method?

Which of these systems of equations would be best solved using the subtraction method?