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STALIN [3.7K]
2 years ago
14

Use substitution to solve the system

Mathematics
1 answer:
Doss [256]2 years ago
3 0

Answer:

x = 4, y = 16

Step-by-step explanation:

y = 4x\\y = 2x + 8\\\\4x = 2x + 8\\2x = 8\\x = 4\\\\y = 4*4\\y = 16

You might be interested in
glen rolls a 6 sided die what is the probability that he gets a number greater then 2 or an odd number​
Firdavs [7]

Answer:

5/6.

Step-by-step explanation:

Let's list the numbers which fit the condition ' greater than 2 or an odd number':

They are 1, 3, 4, 5, 6. Five numbers, so the required probability is:

5/6.

6 0
2 years ago
Find the general solution of (x+3)y’=2y
gregori [183]

Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
trey made pasta in the shape of a square. he draws 2 lines to cut the pasta into smaller pieces. The smaller pieces have 12 side
vitfil [10]
The shape of the pasta is most likely to be a square
5 0
3 years ago
Find the unit rate. Twelve gallons of gas cost $22.68.
vredina [299]

To find the unit rate, all we need to do is divide $22.68 by 12

22.68 ÷ 12 = 1.89

Therefore, each gallon of gas costs $1.89

Hope this helps you

-AaronWiseIsBae :)

7 0
2 years ago
Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh
dusya [7]
Equation of a line:
y=mx+c

m = gradient: The difference between two y points and two x points.
m= \frac{\Delta y}{\Delta x}

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
y=\textunderscore\textunderscore \ x + \textunderscore
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:

m= \frac{7-1}{12-0}
m= \frac{6}{12}
m=0.5

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

c=1

When you plug these values into the equation you get your answer:

y=0.5x+1
6 0
3 years ago
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