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Margarita [4]
3 years ago
15

{y=2x+14 {−4x−y=4 What can I substitute for "y" in the equations?

Mathematics
1 answer:
romanna [79]3 years ago
8 0
Since y = 2x + 14 you can substitute (2x + 14) for y in the second equation
-4x - (2x + 14) = 4.

This is an equation with only one variable so you can solve it for x.  Then use that answer to find the value for y.

Distribute the subtraction sign throughout the terms in the ()s.
-4x - 2x - 14 = 4
-6x - 14 = 4            This is how I got -6x:  -4x - 2x = -6x (combine like terms)
-6x -14 + 14 = 4 + 14   This will eliminate -14
-6x = 18      Now divide both sides by -6
x = -3
y = 2(-3)+14 = 8
Solution to the system is (-3, 8)

ANSWER TO YOU QUESTION: you can substitute (2x + 24) for y 
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Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/
guapka [62]

Answer:

$14.43¢

Step-by-step explanation:

We are given; 1\frac{2}{5} pounds, 1 pound = $4.20 and 2\frac{1}{4} pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert 1\frac{2}{5} to a decimal. It is 1.4. Now we can set up a graph.

<u>Avocados</u>

\frac{4.2}{1}=\frac{x}{1.4}

Switch sides

\frac{x}{1.4}=\frac{4.2}{1}

Apply rule: \frac{a}{1}=a

\frac{x}{1.4}=4.2

Multiply both sides by 1.4

\frac{1.4x}{1.4}=4.2\cdot \:1.4

Simplify

x=5.88

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert 2\frac{1}{4} to a decimal. It is 2.25. Now we can set up a graph.

<u>Asparagus</u>

\frac{3.8}{1}=\frac{x}{2.25}

Switch sides

\frac{x}{2.25}=\frac{3.8}{1}

Apply rule : \frac{a}{1}=a

\frac{x}{2.25}=3.8

Multiply both sides by 2.25

\frac{2.25x}{2.25}=3.8\cdot \:2.25

Simplify

x=8.55

So, her cost for asparagus is $8.55¢

<u>Total cost</u>

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

8 0
3 years ago
Identify the coordinates for point D​
Radda [10]

Answer:

Your Picture is just of -3????

Step-by-step explanation:

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3 years ago
suppose the size of each cube is doubles and the size of the large box is doubled. How many of these new cubes will fit in that
WITCHER [35]

Answer:

5

Step-by-step explanation:

5 + 10

7 0
3 years ago
What is the value of 4 to the power of -3​
Flauer [41]

Answer:

0.015625

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the period of the graph of the equation y = a sin bx?
steposvetlana [31]

T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.

In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.

The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.

f=ω/2π

Substituting in T=1/f:

T=1/ω/2π -------> T = 2π/ω

For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:

T=2π/|b|

7 0
2 years ago
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