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3 years ago

Solve the system. 4x−y=−3y=5x

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

4x - y = -3y = 5x

Write as a system

4x-y = 5x

-3y = 5x

Simplify the expressions

-x-y = 0

-5x-3y = 0

Multiply both sided by -5

5x + 5y = 0

-5x - 3y = 0

2y = 0

y = 0

Substitute the value of y into the equation

-x-0= 0

x=0

A possible solution is (x,y) = (0,0)

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3 years ago

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2 years ago

ed ReviewA company makes bars of soap.soapThe is mixed in large vats, then poured intomolds to make 560 bars of soap. Themixture

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3 years ago

Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair

lubasha [3.4K]

Answer:

Additional <em>26</em> pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

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Let Kelsey makes $x$ number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for $x$ number of pendants.

Cost of material for $x$ number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for $x$ number of pendants = $7.80 $\times$ $x$

So, total cost = $200 + $7.80 $\times$ $x$

Now, each pendant is sold at $13.50

So, total money made by selling $x$ pendants = $13.50 $\times$ $x$

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

$\bold{13.50 \times x > 200+7.80\times x }$

Let us solve the inequality now:

$13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}$

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3 years ago