How to use elimination?

1 answer:

4 0

You try to find the number and variables that cancels out or equal to 0 when added together between 2 equations, so if you choose to eliminate the x of the equations, lets say the first equation has -2x in its given, make sure the next equation has 2x, then you add them together which will equal 0. Elimination is basically making sure your desirable variable equal to 0 when added together.

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Solve for y. x + y + z = 4 4x - y - z = 1 x + z = 2

UNO [17]

Answer:

y=2

Step-by-step explanation:

note: it only says to figure out y

x+y+z=4

x+z+y=4

2+y=4 (since x+z=2)

y=4-2

y=2

3 0

3 years ago

Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne

FrozenT [24]

The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5

3 0

3 years ago

What is the slope of a line parallel to 5x-3y=-10

Llana [10]

For parallel lines, slopes are equal.
5x - 3y = -10
3y = 5x + 10
y = 5/3 x + 10/3

Required slope = 5/3

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3 years ago

If f(x) =4x+12 is graphed on a coordinate plate what is the y intwrcept of the graph

Crank

In y=mx±b of slope-intercept form, the b is the y-intercept either positive or negative.

y=4x+12, in this case, 12 is your y-intercept!!

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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ludmilkaskok [199]

Answer:

HOPING MAKATULONG PO!,KEEP SMILLING GOD LOVES YOU:)!

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