All categories

3 years ago

Is (8, 3) a solution to the system? - x + 4y = 4 - x + 3y = 1

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

- x + 4y = 4

+ x - 3y = -1

and combine like terms. The result is y = 3. Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

You might be interested in

James estimated the total cost of groceries to be $50.

Lilit [14]

The answer is 30%.... because 50/65 is .3

5 0

4 years ago

Read 2 more answers

6x + 14 = 20 Show your work Solve the equation

DIA [1.3K]

Answer:

X = 1

Step-by-step explanation:

subtract 14 from both sides

6x = 6

divide both sides by 7

X = 1

5 0

3 years ago

Read 2 more answers

What is the answer to this somebody!!!

Fed [463]

Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. $\frac{24}{x}=\frac{x}{30}$ . We cross-multiply to get $x^2=720$ . Taking the square root of both sides gives us that $x=12\sqrt{5}$ , the second choice above.

7 0

4 years ago

Convert the fraction 7 24 into a repeating decimal.

goldenfox [79]

$\dfrac7{24}=\dfrac6{24}+\dfrac1{24}=\dfrac14+\dfrac1{24}$

$\dfrac1{24}=\dfrac1{8\time3}=\dfrac a8+\dfrac b3=\dfrac{3a+8b}{24}$
$\implies3a+8b=1$

We can choose $a=-1$ and $b=\dfrac12$ , so that

$\dfrac1{24}=-\dfrac18+\dfrac16$

Recalling that $\dfrac13=0.333\ldots$ , it follows that $\dfrac16=0.166\ldots$ . So,

$\dfrac1{24}=0.125+0.166\ldots=0.04166\ldots$
$\implies\dfrac7{24}=0.25+0.4166\ldots=0.29166\ldots$

6 0

3 years ago

HELP NEEDED QUICK Find the measure of the missing angles. 103° f е d =

Reika [66]

Answer:

77 degrees and 90 degrees

The angle d is shown as 90 by the perfect right angle. The angle e has to equal 180 when added to f. So 180-103=77.

3 0

3 years ago