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3 years ago

Solve the system of Linear equations by elimination

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

With these, you pick either equation and a variable to solve for; let's solve for x using the 2nd eq: 3x - 4y = 11; 3x = 4y - 11; x = (4/3)y - (11/3).

Now, plug x into the first eq: 3( (4/3)y - (11/3) ) + 4y = 5; 4y -11 +4y = 5; 8y = 16; y = 2.

To get an actual number for x, plug in y into either equation and you should get x = -1.

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Find the measure someone please help

Ierofanga [76]

Answer:

m∠B = 31°

Step-by-step explanation:

First, find the measure of angle ACB by subtracting its supplement from 180 degrees:

180 - 113 = 77

m∠ACB = 77°

Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:

m∠B = 180° - 72° - 77°

m∠B = 31°

5 0

2 years ago

Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.

SVEN [57.7K]

Answer:

the correct one is d

Step-by-step explanation:

so out 9

6 0

3 years ago

I need help on 17 and 23 pls

ludmilkaskok [199]

Question # 17 Solution

Answer:

$x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Step-by-step Explanation:

The given expression

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

And we have to solve for x₁

So,

Lets solve for x₁.

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Multiply both sides by x₂ - x₁

$m(x_{2}-x_{1})= (x_{2}-x_{1})\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m(x_{2}-x_{1})= (y_{2}-y_{1})$

$mx_{2}-mx_{1}= (y_{2}-y_{1})$

$-mx_{1}= y_{2}-y_{1}-mx_{2}$

Divide both sides by -m

$\frac{-mx_{1}}{-m}= \frac{y_{2}-y_{1}-mx_{2}}{-m}$

$x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Therefore, $x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Question # 23 Solution

Answer:

$n= \frac{bx}{-b + x}$

Step-by-step Explanation:

The given expression

$\frac{nx}{b}-x=x$

And we have to solve for n

So,

Let's solve for n.

$\frac{nx}{b}-x=x$

Multiply both sides by b.

$-bn + nx = bx$

Factor out n.

$n(-b + x)= bx$

Divide both sides by -b + x.

$\frac{n(-b + x)}{-b + x}= \frac{bx}{-b + x}$

$n= \frac{bx}{-b + x}$

Therefore, $n= \frac{bx}{-b + x}$

Keywords: solution, equation

Learn more about the solution of equations from brainly.com/question/12864981

#learnwithBrainly

6 0

3 years ago

An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face

aleksley [76]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

3 0

3 years ago

this stem and leaf plot shows the number of text messages 10 people sent yesterday. whatis the total number of text messages the

Rudiy27

To find the total number of text messages sent, you will use the stem-n-leaf plot to create a data set of all the numbers of texts sent.

To read a stem-n-leaf plot you will use the number on the left as the tens place and each number to the right of it creates a new number in the data set.

See the key for help!

Here is the list of the all the data:

0, 0, 7, 9, 10, 10, 15, 20, 23, 32

To find the total number of text messages sent, add these together.

The answer is 126 text messages.

3 0

3 years ago