All categories

3 years ago

Solve by elimination method : x - y = 2 , x + y = 12.

1 answer:

4 0

Answer: (7,5) X=7 and Y=5

Explanation:

Add the two equations together to eliminate y from the system.

x-y=2 + x+y=12
= 2x = 14

Divide both sides by 2

x=7

Substitute the value found for x into one of the original equations to solve for y

(7)-y=2

Move all terms to one side to make it easier

-y=2-7

Subtract

y=5

You might be interested in

What are the solution

AleksandrR [38]

Answer:

Step-by-step explanation:

We can get two equations from the inequality:

$3x+2>9\\3x+2>-9$

We just need to simplify both equations to get our answers:

$3x+2>9\\3x>7\\x>\frac{7}{3}$

$3x+2>-9\\3x>-11\\x>\frac{-11}{3}$

The two answers we get are:

$x\frac{7}{3}$

Which is also B.

3 0

2 years ago

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

Vadim26 [7]

Answer: r = 1.69 inches

h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

$V=\frac{1}{3}\pi r^{2}h$

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

$9=\frac{1}{3}\pi r^{2}3$

$\pi r^{2}=9$

$r^{2}=2.864$

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

$9=\frac{1}{3}\pi (2)^{2}h$

$h=\frac{9(3)}{4 \pi}$

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

6 0

3 years ago

A quadratic function f is given <br> F(x)= x^2_4x+6 <br> Express f in standard form ?

Dennis_Churaev [7]

Hey there!

In the equation mentioned,

f represents function.

Hope my answer helps!

7 0

2 years ago

Devin has started a lawn care service. He will charge a mowing fee of $7 plus $2 per square yard of lawn. He also offers trimmin

Maru [420]

Answer:7+2xy

Step-by-step explanation:apex

4 0

3 years ago

Read 2 more answers

What are the answers and work for 15, 18, and 21

Sholpan [36]

To solve equations such as the ones you listed above, our end goal is to isolate the variable (the letter that represents an unknown value).

Let’s begin with Number 15.

a/5 - 2 = 9

Due to the reverse order of operations, we should first add 2 to both sides of the equation.

a/5 = 11

To solve, we should multiply both sides by 5 to get rid of the denominator on the variable a.

a = 55 (answer)

Next, we can move onto number 18.

2/3g + 6 = -12

To solve this equation, we should begin by subtracting 6 from both sides.

2/3g = -18

Next, we can get the variable g alone by multiplying both sides by 3/2 (this will cancel out the coefficient of 2/3 on the variable g).

g = -27 (answer)

Finally, we can solve number 21 in a similar manner.

(c-5)/4 = 3

To solve this problem, we should first multiply both sides by 4 to get rid of the denominator on the variable c.

c - 5 = 12

To finish our simplification, we should add 5 to both sides of the equation to get the variable c completely alone.

c = 17 (answer)

Therefore, your answers to questions 15, 18, and 21, are 55, -27, and 17, respectively.

Hope this helps!

7 0

3 years ago

Read 2 more answers