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Dvinal [7]
3 years ago
5

X+y=10 and 2x+4y=30What are the steps to solve this equation?

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

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8.
lukranit [14]

Answer:

4

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

7 0
3 years ago
3.) You deposited $5,000 in an account that pays 4% annual interest. Find the
Maurinko [17]

The balance after one year is $5200

Step-by-step explanation:

The formula to apply here is

A=P(1+\frac{r}{n} )^{nt}

where

A=Amount of money  at the end of the period=?

P=the amount of money invested= $5000

r=rate of interest=4%=0.04

n=number of compounding per year=1

t=time in years=1

Applying  the formula

A=P(1+\frac{r}{n} )^{nt} \\\\\\A=5000(1+\frac{0.04}{1} )^{1} \\\\\\A=5000(1.04)\\\\A=5200

A=$5200

Learn More

Compound Interest: brainly.com/question/12148233

Keywords : interest, compounded annually

#learnwithbrainly

6 0
3 years ago
Why is radian measure used in Geometry?
Vladimir [108]
The infinite series description of trig functions is much neater when the argument is radians. For example, for small angles, sin(x) ≈ x when x is in radians. You could say that radians is the "natural" measurement unit for angles, just as "e" is the "natural" base of logarithms.

If the angle measure were degrees or grads or arcseconds, obnoxious scale factors would show up everywhere.
3 0
3 years ago
A rectangular prism has a length of 5/2 ft, width of 9/6 ft, and height of 2/3 ft. what is its volume?
ivanzaharov [21]
The formula of the volume of the rectangular prism:

V = length × width × height

We have:
l=\dfrac{5}{2}ft\\\\w=\dfrac{9}{6}ft\\\\h=\dfrac{2}{3}ft\\\\V=l\cdot w\cdot h=\dfrac{5}{2}\cdot\dfrac{9}{6}\cdot\dfrac{2}{3}\\\\=\dfrac{5}{2}\cdot\dfrac{1}{1}\cdot\dfrac{1}{1}=\dfrac{5}{2}=2.5ft.^3
6 0
3 years ago
Solve by factoring c^2=5c
muminat
Hey there!

c² = 5c

Subtract 5c from both sides:

c² - 5c  = 5c - 5c

Simplify :

c² - 5c = 0

c = 5 , c = 0


6 0
3 years ago
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