Use substitution to solve each system of equations Y=2x-2 Y=x+2

1 answer:

8 0

Y = 2x - 2 ⇒ 2x - y = 2 ⇒ 2x - y = 2
y = x + 2 ⇒ x - y = -2   ⇒ <u>2x - 2y = -4</u>
       <u>3y</u> = <u>6</u>
      3     3
   y = 2
      2x - 6 = 2
   <u>    +6 +6</u>
   <u>2x</u> = <u>8</u>
      2    2
   x = 4
   (x, y) = (4, 2)

You might be interested in

An isosceles triangle has an area of 254 km², and the angle between the two equal sides is 53°. Find the length of the two equal

torisob [31]

Area of a triangle = 1/2 ab sinC

In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures

8 0

3 years ago

Static and Reasoning:

Serggg [28]

Based on the data recorded by Isabella, it can be concluded the cube is rather fair.

<h3>How many times did Isabella get each number?</h3>

Based on the data, here are the results:

Getting a 1: 6 times
Getting a 2: 5 times
Getting a 3: 7 times
Getting a 4: 5 times
Getting a 5: 6 times
Getting a 6: 7 times

This implies, in total Isabella got the same number between five and seven times. For example, the number 2 was obtained 5 times, but the number 3 was obtained 7 times.

<h3>What can be concluded based on the results?</h3>

Even though Isabella did not get the same number of times each number, the dice is rather fair because by rolling the dice thirty six times you will obtain the same number at least five times.

Moreover, there is not a big difference in the number of times you obtain each number.

Learn more about dice in: brainly.com/question/23637540

#SPJ1

5 0

2 years ago

One number is three more than a second number. Three times the first is 13 less than 5 times the second.

irakobra [83]

14 and 11

let x be the second number then the first number = x + 3 ( 3 more than second)

Also 3(x + 3) = 5x - 13

3x + 9 = 5x - 13

subtract 3x from both sides

9 = 5x - 3x - 13

9 = 2x - 13

add 13 to both sides

22 = 2x

divide both sides by 2

11 = x → second number

first number = x + 3 = 11 + 3 = 14

6 0

3 years ago

Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogr

Vinvika [58]

Option 1. 9.42×3 in² is the correct option.

Step-by-step explanation:

As it has been given in the question that Kyra has arranged the circle sectors in the shape of a parallelogram.
Side of a parallelogram = 9.42 in. and height of this parallelogram is 3 in.
Now we know the formula of the area of a parallelogram = length × height
Area = 9.42 × 3 in².
So the area of this arrangement of the sectors = 9.42×3 in².

8 0

3 years ago

Read 2 more answers

Write 1-2log7x as a single logarithm

slavikrds [6]

Answer:

$log_{7} \frac{7}{x^{2} }$