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Norma-Jean [14]
3 years ago
6

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.

<u>A positive number is 7 times another number:</u>

  • a = 7b

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

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 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

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, 4)

Point (3, 12)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

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