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3 years ago

Solving systems by substitution: Y=4x-17 4x+6y=10

Mathematics

2 answers:

sergey [27]3 years ago

5 0

It's not a multiple choice answer is it?

Ksivusya [100]3 years ago

4 0

Answer:

{x = 4, y = -1

Step-by-step explanation:

Solve the following system: by substitution:

{y = 4 x - 17

{4 x + 6 y = 10

Hint: | Perform a substitution.

Substitute y = 4 x - 17 into the second equation:

{y = 4 x - 17

{4 x + 6 (4 x - 17) = 10

Hint: | Expand the left hand side of the equation 4 x + 6 (4 x - 17) = 10.

4 x + 6 (4 x - 17) = (24 x - 102) + 4 x = 28 x - 102:

{y = 4 x - 17

{28 x - 102 = 10

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = 4 x - 17

{28 x - 102 = 10

Hint: | Isolate terms with x to the left hand side.

Add 102 to both sides:

{y = 4 x - 17

{28 x = 112

Hint: | Solve for x.

Divide both sides by 28:

{y = 4 x - 17

{x = 4

Hint: | Perform a back substitution.

Substitute x = 4 into the first equation:

{y = -1

{x = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 4

, y = -1

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If jamie has $5 and purchases a soda for $1.15 how much change does jamie get back

ArbitrLikvidat [17]

Jamie get back:5-1.15
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5 0

3 years ago

What is the truth about abc ? Somebody plz help me

Natasha2012 [34]

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3 0

3 years ago

14. BUS TRIP A bus leaves at 10 A.M. to take students on a field trip to a

k0ka [10]

The bus is 54.5 miles far from the site at the time of 11:30A.M as per the given information in the question.

<h3>What is the slope of a line?</h3>

The slope of a line indicates how steep it is. Slope is defined mathematically as "climb over run" (change in y divided by change in x).

It is assumed that a bus moving at a constant speed departs at 10 a.m. towards a historic location, is 100 miles away by 10:25 a.m., and is 65 miles away at 11:15 a.m.

We must create a point-slope equation that connects the distance from the place to the time in minutes after 10:00 a.m. Then, around 11:30 a.m., we need to figure out how far the bus is from the site.

A line's point-slope is y₂-y₁)=m(x₂-x₁)

Since x denotes the amount of minutes after 10:00 a.m., 10:25 a.m. is represented by x=25 and 11:15 a.m. by x=75.

At 10:25 a.m., a distance of 100 miles from the place is represented by 75.

The point represents a distance of 100 miles from the site at 10:25 a.m. The point represents a distance of 65 miles from the site at 11:15 a.m.

By substituting the points (25, 100) and (75, 65) into the slope formula and simplifying we get,

m=(y₂-y₁)/(x₂-x₁)

m=(65-100)/(75-25)

m=-35/50

m=-0.7

Now choose one of the points and substitute that point and the slope into the slope-point form

y₋y₁=m(x-x₁)

By choosing (x₁, y₁)=(25, 100)

By choosing (x₂, y₂)=(75, 65)

Since 11:30 A,M is 90 minutes after 10:00A.M

By substituting x=90 in the equation we get the value of y,

y-100= -0.7(90-25)

y-100= -0.7(65)

y-100 =-45.5

y= 54.5

Hence, the bus is 54.5 miles from the site at the time of 11:30 A.M

y-100= -0.7(x-25)

y-65= -0.7(x-75)

The bus is 54.5 miles from the site at 11:30A.M.

To know more about slope of a line, visit:

brainly.com/question/28771374

#SPJ9

6 0

1 year ago

Johnson Canniver has a repair shop. He bought a used lawn mower for $35.00 from a customer. He spent $39.17 on parts to repair t

Goshia [24]

Answer:

$44.40

Step-by-step explanation:

Markup is the difference between the sell price and the cost of building

1) Find total cost of building the lawn mower: $35 + $39.17 + $36.43 = $110.6

2) Subtract the total cost from the sell price: $155.00 - $110.6 = $44.40

6 0

2 years ago

Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milks

drek231 [11]

Answer:

Freeze Zone has too much caramel.

Step-by-step explanation:

Given:

Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream.

Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.

Question asked:

What will Ari think about Freeze Zone's milkshakes ? ( option must be there)

Choose one answer:

Freeze Zone has too much caramel.

Freeze Zone has too little caramel.

Freeze Zone is just right.

Solution:

First of all we will find both person's ratio of caramel to ice cream in their milkshakes.

Ratio of Ari

$\frac{caramel}{milkshake} =\frac{333}{555} =\frac{3}{5}$

Ratio of Freeze Zone

$\frac{caramel}{milkshake} =\frac{666}{888} =\frac{3}{4}$

Now, to comparing ratio of Ari and ratio of Freeze Zone, we will equalize the denominator:-

For Ari:

Multiplying numerator and denominator by 4

$Ratio\ of\ Ari=\frac{3}{5}=\frac{3\times4}{5\times4} =\frac{12}{20}$

For Freeze Zone:

Multiplying numerator and denominator by 5

$Ratio\ of\ Freeze\ Zone=\frac{3}{4}=\frac{3\times5}{4\times5} =\frac{15}{20}$

By comparison, we find that for making 20 scoops of ice cream, Freeze Zone is using 15 ounces of caramel while Ari thinks that 12 ounces of caramel must be used to make perfect milkshakes.

Conclusion:

Freeze Zone has too much caramel.

5 0

3 years ago

Read 2 more answers