All categories

3 years ago

Solve the system. y= 22 – 10x + 15 y=-10

Mathematics

1 answer:

Yuliya22 [10]3 years ago

7 0

I will try to solve your system of equations.

y=22;−10x+15y=−10

Step: Solvey=22for y:

Step: Substitute22foryin−10x+15y=−10:

−10x+15y=−10

−10x+(15)(22)=−10

−10x+330=−10(Simplify both sides of the equation)

−10x+330+−330=−10+−330(Add -330 to both sides)

−10x=−340

−10x

−10

−340

−10

(Divide both sides by -10)

x=34

Answer:

y=22 and x=34Answer:

Step-by-step explanation:

You might be interested in

The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0

2 years ago

pickupchik [31]

Answer:

3.50$ x 5.5 = 19.25 $

Step-by-step explanation:

8 0

2 years ago

874 simplest form please need it for quizzz

kow [346]

Answer:

Step-by-step explanation:

I'm not quite sure what you mean.... do you mean 8/74? If so, the answer would be 4/37, because anything lower that that would have a decimal.

4 0

3 years ago

A box of apples weights 1,058 pounds. If one apples weights 46 pounds, how many apples are there in the box?

Arte-miy333 [17]

There will be23 apples in the bow

5 0

3 years ago

Hello, how was your day, help? ^ ^<br> solve for x

Natali5045456 [20]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\boxed{x=100}$

»»————-　★　————-««

Here’s why:

Recall the Triangle Angle Sum Theorem: The three angles of all triangles add up to a sum of 180°.
We will set up an equation based on this and then solve.

⸻⸻⸻⸻

$\boxed{\text{Solve for 'x':}}\\\\58 + 22 + x = 180\\-----------\\\rightarrow 80 + x = 180\\\\\rightarrow 80 - 80 + x = 180 - 80\\\\\rightarrow \boxed{x=100}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago