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3 years ago

What is the value of y in the solution to the system of equations? x + y = 1 2x – 3y = –30

Mathematics

2 answers:

arsen [322]3 years ago

8 0

X=10 y=20 Good Luck :)

Sauron [17]3 years ago

7 0

X + y = 1.....multiply by -2
2x - 3y = -30
-----------------
-2x - 2y = -2 (result of multiplying by -2)
2x - 3y = -30
----------------add
-5y = -32
y = -32/-5
y = 32/5 or 6.4 <===

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a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th

Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
14b + 6 = 5b + 15 ⇒ collecting like terms
14b - 5b = 15 - 6
9b = 9
b = 1 ⇒ solved for b

Then, finding a:

a= 7b
a=7*1
a= 7 ⇒ solved for a

So the numbers are 7 and 1

3 0

3 years ago

What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

Nadya [2.5K]

Answer:

$\displaystyle m = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

3 0

3 years ago

Cherries are on sale for $16 for 4 pounds. Jordyn pays $88.00 for cherries to make a cobbler. How many pounds of cherries doses

Tamiku [17]

She bought 5.5 pounds of cherries

explanation-
88 divided by 16 would be 5.5

7 0

2 years ago

Find the average rate of change.

alina1380 [7]

The average rate of change = 1.59 ≈ 2

The average rate of change can be calculated by

1) The first one = $\frac{3 + 0}{2}$ = 1.5

2 ) the second can also be solved by ; 8 + 2/ 2 = 5

3 ) the third one will be 20 + 6 / 2 = 13

4) 8.5

5) 12.5

To calculate the average rate of change

we will first add all the distance

Adding all the distance we will get the sum = 3 + 8 + 20 + 10 + 10 = 51

The total time = 2 + 6 + 9 +15 = 32

Thus the average rate of change = 51 / 32 = 1.59

To know more about average rate of change you may visit the link which is mentioned below;

brainly.com/question/28744270

#SPJ13

5 0

1 year ago

What number is needed to complete the pattern. 66 73 13 21 52 __ 10 20

svetoff [14.1K]

Please try 43 I'm not sure

3 0

3 years ago