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3 years ago

What is the solution to this system of linear equations? x + y = 4 x − y = 6

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

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Can somebody please explain and answer this for me? I really don't get it.

Tcecarenko [31]

Answer:

Results can be $(-\frac{1}{3} )^5$

Step-by-step explanation:

-The solution for this question:

$(-\frac{1}{3} )^5$ is equal to $(-\frac{1}{3})$ × $(-\frac{1}{3})$ × $(-\frac{1}{3})$ × $(-\frac{1}{3})$ × $(-\frac{1}{3})$

-The calculation for $(-\frac{1}{3} )^5$ :

$(-\frac{1}{3} )^5 = -\frac{1}{243}$

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3 years ago

In the diagram, the radius of the outer circle is

JulijaS [17]

the value of x is 8 cm.

<u>Step-by-step explanation:</u>

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle = πr²

the outer circle area = $\pi(2x)^2 =4\pi x^2$

the inside circle area = $\pi (6)^2= 36\pi$

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ $\pi (4x^2)-36\pi =220\pi$

⇒ $x^2-9 =55$

⇒ $x^2=64$

⇒ $x =\sqrt{64}=8$

Therefore , the value of x is 8 cm.

5 0

3 years ago

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Dafna11 [192]

Use photo math :) and you will get your answer

8 0

3 years ago

Read 2 more answers

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos

adoni [48]

Antonio tiene 5 y Juan tiene 20

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3 years ago

when directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x-(5/2))^2= (13/4). which equ

Tasya [4]

We have the following expression:
(x- (5/2)) ^ 2 = (13/4)
Let's rewrite the given expression:
x ^ 2 - 5x + 25/4 = (13/4)
x ^ 2 - 5x + 25/4 - 13/4 = 0
x ^ 2 - 5x + 12/4 = 0
x ^ 2 - 5x + 3 = 0
Answer:
the original equation given to Sam could have been:
x ^ 2 - 5x + 3 = 0

7 0

3 years ago