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3 years ago

Solve the following system of equations: −2x + y = 1 −4x + y = −1

2 answers:

6 0

Hello!

-2x + y = 1
-4x + y = -1

You can subtract these equations from each other to eliminate y

2x = 2

Divide both sides by 2

x = 1

Put this into one of the original equations

-2(1) + y = 1

Combine like terms

-2 + y = 1

Add 2 to both sides

y = 3

The answer is D) (1, 3)

Hope this helps!

Jlenok [28]3 years ago

3 0

Answer:

d. (1,3)

Step-by-step explanation:

We will use the substitution method to solve this system of linear equations with two unknowns.

First, we will have to choose any variable from some equation and clear it.

I will use the first equation, with the variable "y"

$-2x+y=1\\y=1+2x$

We will substitute this equation in the second equation. Every time we find the value of "y", let's replace.

$-4x+y=-1\\-4x+(1+2x)=-1$

We will solve this equation to find the value of "x"

$-4x+1+2x=-1\\-2x=-1+1\\-2x=-2\\x=\frac{-2}{-2} \\x=1$

Now, the found value of "x" will replace it in any of my two initial equations.

$-2(1)+y=1\\$

and we solve

$-2+y=1\\y=1+2\\y=3$

Thus, the result of this system of equations is

(1,3)

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20300 ÷ 800 = 25.375

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3 years ago

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Write the equation of the circle with the given center and radius.

34kurt

Step-by-step explanation:

The standard equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$

Center = (h, k)

Center = (0,2)

h = 0

k = 2

r = 5

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$(x - 0)^2 + (y - 2)^2 = 5^2$

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h = -4

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$(x + 4))^2 + (y + 5))^2 = \sqrt{2}^2$

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3 years ago

The radius of a circle is 13 meters. What is the circle's circumference?

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Answer:

The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .

Step-by-step explanation:

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I hope this helps.

8 0

2 years ago