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3 years ago

Solve the system using the method of your choice: y = 3x – 4 2x + 4y = 26 SHOW WORK

Mathematics

1 answer:

SVEN [57.7K]3 years ago

8 0

Hello Savanna

y=3x-4

2x+4y=26

Can we solve it together ? :) Thx

We need to solve y=3x-4 for y

Now let's start solving this by substitute 3x-4 for y in 2x+4y=26

2x+4(3x-4)=26

14x-16=26

Now let's add 16 to both sides

14x-16+16=26+16

14x=42

Divide both sides by 14 so we can find the value for x

14x/14= 42/14

x=3

Good job:) now we find the value of x

We are not done yet.

Let's find the value for y by substitute 3 for x in y=3x-4

y=3x-4

y=(3)(3)-4

y=9-4

y=5

Yeah well done :)

Final answer : x=3 and y=5

(3,5)

Was that helped ? please rate my answer :0

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Which expressions have a value of 16/81? Check all that apply.

lana [24]

Which expression have a value of 16/81? check all that apply. (2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

Answer:

First and last option is correct.

$(\frac{2}{3})^{4}=\frac{16}{81}$

$(\frac{4}{9})^{2}=\frac{16}{81}$

Step-by-step explanation:

Given:

There are four options.

(2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

We need to check all given options for value of 16/81.

Solution:

Using rule.

$(\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}$

Solve for option $(\frac{2}{3})^4$ .

$(\frac{2}{3})^{4}=\frac{2^4}{3^4}=\frac{2\times 2\times 2\times 2}{3\times 3\times 3\times 3}=\frac{16}{81}$

Solve for option $(\frac{16}{3})^4$ .

$(\frac{16}{3})^{4}=\frac{16^4}{3^4}=\frac{16\times 16\times 16\times 16}{3\times 3\times 3\times 3}=\frac{65536}{81}$

Solve for option $(\frac{4}{81})^2$ .

$(\frac{4}{81})^{2}=\frac{4^2}{81^2}=\frac{4\times 4}{81\times 81}=\frac{16}{6561}$

Solve for option $(\frac{4}{9})^2$ .

$(\frac{4}{9})^{2}=\frac{4^2}{9^2}=\frac{4\times 4}{9\times 9}=\frac{16}{81}$

Therefore, expression $(\frac{2}{3})^4$ and $(\frac{4}{9})^2$ have a value of $\frac{16}{81}$ .

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Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

$3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}$

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Step-by-step explanation:

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