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3 years ago

Use the elimination method to solve the system of equations. Choose the

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

D. (6,6)

Step-by-step explanation:

Given the system of two equations

$\left\{\begin{array}{l}3x+5y=48\\ \\-3x+5y=12\end{array}\right.$

1. Add these two equations:

$3x+5y-3x+5y=48+12\\ \\10y=60\\ \\y=6$

2. Subtract these two equations:

$(3x+5y)-(-3x-5y)=48-12\\ \\3x+5y+3x-5y=36\\ \\6x=36\\ \\x=6$

Hence, the solution to the system is (6,6)

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If i = V-1, then (3 – i)(3+ i) =

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9-v^+2v-1
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3 years ago

A test has twenty questions worth 100 points. The test consists of x true-false questions worth 4 points each and y multiple cho

kvv77 [185]

Answer:

Number of true-false questions =15

Number of multiple choice questions =5

Step-by-step explanation:

Number of true-false questions = $x$

Number of multiple choice questions = $y$

Total number of question = $x+y=20$

Points for true-false questions = 4

Total points for true-false questions = $4\times x =4x$

Points for multiple choice questions = 8

Total points for multiple choice questions = $8\times y =8y$

Total points of the test = $4x+8y=100$

We have 2 equations now:

(1) $x+y=20$

(2) $4x+8y=100$

We need to solve the 2 equations to find $x$ and $y$ .

Dividing equation 2 by 4.

$\frac{4x+8y}{4}=\frac{100}{4}$

(2a) $x+2y=25$

Multiplying equation (2a) with (-1)

$-1(x+2y)=25\times (-1)$

(2b) $-x-2y=-25$

Adding equation (2a) with equation (1).

$x+y=20$

$-x-2y=-25$

$-y=-5$

$y=5$ [ Divided both sides by -1]

Substituting value of $y$ in equation (1).

$x+5=20$

Subtracting both sides by 5.

$x+5-5=20-5$

$x=15$

∴ $x=15 \ and\ y=5$

Number of true-false questions =15

Number of multiple choice questions =5

7 0

3 years ago

Read 2 more answers

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Lilit [14]

Answer:

(x -4)^2 +1

Step-by-step explanation:

For some f(x), a translation to the right by "h" and up by "k" transforms it to ...

g(x) = f(x -h) +k

You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...

G(x) = F(x -4) +1

G(x) = (x -4)^2 +1

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3 years ago

What scale factor was applied to the first rectangle to get the resulting image?

Valentin [98]

Answer:

Divided by 5.

Step-by-step explanation:

It is five times smaller than the original picture.

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3 years ago

Consider the two functions. Which statement is true?

Luden [163]

Answer:

I'm not for sure but I think it's a

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2 years ago