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Arte-miy333 [17]
1 year ago
12

Determine which method works, substitution or elimination? 4x^2+3y^2=42x^2-6y^2=-3

Mathematics
1 answer:
GarryVolchara [31]1 year ago
3 0

Given:

\begin{gathered} 4x^2+3y^2=4 \\  \\ 2x^2-6y^2=-3 \end{gathered}

Find the method .

Sol:

\begin{gathered} 4x^2+3y^2=4..............(1) \\  \\ 2x^2-6y^2=-3.............(2) \end{gathered}

2eq(1) + eq(2) then,

8x^2+6y^2=8

Then apply the elimination method.

\begin{gathered} 8x^2+6y^2=8 \\ 2x^2-6y^2=-3 \\ --------- \\ 10x^2=5 \\  \\ x^2=\frac{5}{10} \\  \\ x=\sqrt{\frac{1}{2}} \end{gathered}

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Answer:

D. Graph C

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

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Let y = 2x + 8, Then

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Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

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2 years ago
-50 added to three times an unknown number equals -11?
RoseWind [281]

Hello there!

An equation to model this situation is 3n - 50 = -11

The unknown number has a value of 13.

Okay, so let's start by breaking down the question - we'll use <em>n</em> to model the unknown number.

-50 added to three times an unknown number equals -11?

This means we are adding -50 to something else. (We can use + -50 or - 50 since they are the same thing, I'll use - 50 since it's easier to follow.)

-50 added to three times an unknown number equals -11?

This phrase can be modeled as 3n. This is what we are taking 50 from, so we can add that to the end of the equation so far.

3n - 50

-50 added to three times an unknown number equals -11?

This can means the equation equals -11. We can model it as = -11. Now, let's add it to our equation.

3n - 50 = -11

Now, solve for n.

You want to start by canceling -50 out on the left side, so n is on it's own side, and to do this you add 50 to both sides.  

3n - 50 + 50 = -11 + 50

3n = 39

To finish isolating n, divide both sides of the equation by 3.

3÷3n = 39÷3

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I hope this helps and have a great day!



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