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eimsori [14]
3 years ago
9

Solve the following system of equations using SUBSTITUTION METHOD.

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0
Multiply the 1st row by 3
3x−12y=−3
3x+2y=39
​
Subtract the 2nd row from the 1st row.
−14y=−42

Solve for y (-14y=-42)

Divide both sides by −14.

Y= -42/-14

Two negatives make a positive.
Y=42/14

Simply 42/14 to 3
Y=3

Sub y=3 into both equations
3x-12x3=-3
X=11

Therefore,
X =11
Y=3
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What are the solutions of the equation (x + 2)2 + 12(x + 2) - 14 = 0? Use u substitution and the quadratic formula to solve.
Y_Kistochka [10]

X^2+4x+4+12x+24-14=0

x^2+16x+14=0

x= -16 ± √(16)^2-4(1)(14) /2(1)

=-16± √200   /2

-16 ± 2√50    /2

-16 ± 10√2   /2

-8 ± 5√2  

6 0
3 years ago
Read 2 more answers
Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of th
joja [24]

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

7 0
4 years ago
PLEASE HELP ASAP
Sedbober [7]

Brainly.com

What is your question?

Middle SchoolMathematics 5+3 pts

A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide. 4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1 Create a histogram of this data.

Report25.03.2017

Answers

Portal0876 · Beginner

Know the answer? Add it here!

THE BRAINLIEST ANSWER!

taskmasters

Taskmasters Ambitious

Given:

12 visitors

Visitor # Frequency of going down a water slide

1 4

2 22

3 16

4 10

5 11

6 20

7 20

8 12

9 6

10 3

11 11

12 1

Pls. see attachment for the histogram.

4 0
4 years ago
ROUND YOUR ANSWER TO THE NEAREST TENTH
Darya [45]

Answer:

x = 16.5

Step-by-step explanation:

Use pythagorean theorem

a² + b² = c²

Plug in terms

7.1² + x² = 18²

Square each term

50.41 + x² = 324

Subtract a from c

x² = 273.59

Find square root

16.5

4 0
3 years ago
Solve $16x+9=9y-2x$ for $y$ .
s344n2d4d5 [400]

Answer:

The solution for y is y = 2x + 1

Step-by-step explanation:

* <em>Lets explain how to solve an equation for one of the variables</em>

- We need to solve the equation 16x + 9 = 9y - 2 x for y

- That means we want to find y in terms of x and the numerical term

- the equation has two sides, one side contains x and numerical term

 and the other side contains y and x

- We need to separate y in one side, and other term in the other side

* <em>Lets do that</em>

∵ 16x + 9 = 9y - 2x

- Add 2x to both sides to cancel -2x from the right side

∴ 16x + 2x + 9 = 9y - 2x + 2x

- Add like terms in each side

∴ 18x + 9 = 9y

- Divide each term by the coefficient of y ⇒ (÷9)

∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y

∴ 2x + 1 = y

- Switch the two sides

∴ y = 2x + 1

* The solution for y is y = 2x + 1

3 0
3 years ago
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