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Fynjy0 [20]
3 years ago
8

Use the substitution method to solve the system of equations

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

x=1/4

y = -2

(1/4, -2)

b

Step-by-step explanation:

4x -y =3

y =-8x

substitute y =-8x into the first equation.  Everywhere you see y put 8x

4x -y =3

4x - (-8x) =3

4x+8x=3

combine like terms

12x = 3

divide by 12

12x/12x = 3 /12

x = 1/4

now we need to find y

y = -8x

y = -8 * 1/4

y = -2

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When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f
valkas [14]

Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

V\propto \frac{1}{P}

We can rewrite the above equation is

\frac{V_1}{V_2}=\frac{P_2}{P_1}  [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

V_1= 93 cubic inches, P_1 = 14 pounds per square inches,

V_2=31 cubic inches, P_2 = ?

\frac{V_1}{V_2}=\frac{P_2}{P_1}

\Rightarrow \frac{93}{31}=\frac{P_2}{14}

\Rightarrow \frac{P_2}{14}=\frac{93}{31}

\Rightarrow {P_2}=\frac{93}{31}\times 14

\Rightarrow {P_2}=42 pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

4 0
3 years ago
Suppose c and d vary inversely, and d = 2 when c = 17.
stepladder [879]

Answer:

if d=2 and c=17

then c=68 and d=8

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4 0
3 years ago
A computer store buys a computer system at a cost of ​$370.80. The selling price was first at $ 618​, but then the store adverti
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The current sale price would be $123.60.

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3 years ago
The ratio of blue marbles to red marbles in a box is 3 to 2. if there are 12 blue marbles in a box then how many red marbles are
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The answer is: 8 red marbles!

This is because the equation can be written out like this
Blue to red - 3:2
Now it is, blue to red - 12:x

We have to think, what is the difference from the first equation to the second. We know the number 3 times 4 = 12, so we would do the same for the red, 2 times 4=8

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6 0
3 years ago
Read 2 more answers
How do I do #1 ? Help!!
juin [17]

1) First find the multiplier.

Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.

2)Ask how do we get from 5 to 3?

  • We subtract 2 so the multiplier is -2

3)Lets make a linear equation: y=mx +b

  • m= multiplier or slope
  • x= Just equals x value
  • b= your starting value or the 0 term which is 5

4)Use the values that you have to create your equation.

  • y=-2x +5

Note:For the x value just plug in the x value from your table.

Ex.

  • y=-2(-10)+5
  • y=20+5
  • y=25

5 0
3 years ago
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