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3 years ago

Solve the system of linear equations below.

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

Answer: x=2, y=7

Step-by-step explanation:

6x+3y=33.................. (1)

4x+y=15.......................(2)

Using elimination method multiply equation one by 1 and equation 2 by 3

6x+3y=33...................(3)

12x+3y=45....................(4)

Eliminating y

We have

6x+3y=33

12x+3y=45

The single equation becomes

-6x+0=-12

-6x=-12

Minus cancelled minus

6x=12

x=12/6

x=2

To find y substitute x=2 in equation 1

6x+3y=33

6(2)+3y=33

12+3y=33

3y=33-12

3y=21

y= 21/3

y=7

hjlf3 years ago

4 0

Answer:

6×2+3×7=33

12+21=33

33=33

equal

4×2+7=15

8+7=15

15=15

equal

x=2,y=7

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A) 2.5x + 1.25 < 3.75 b)5.12 2.4x + 0.3 help!!!

Sauron [17]

Answer:

a) 1

b)I would like to help u but i don't understand the question I think something is missing there plus sign or minus sign sry

Step-by-step explanation:

2.5x + 1.25 < 3.75

2.5x < 3.75 - 1.25

2.5x < 2.5

$\frac{2.5x}{2.5} = \frac{2.5}{2.5}$

x = 1

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For any question comment me

Really sorry for the second question

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3 years ago

The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is

tensa zangetsu [6.8K]

Answer: 10, 11, & 12

Step-by-step explanation:

Let x represent the age of the youngest child.

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0 or x + 2 = 0

x = 10 or x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0

3 years ago

Write the decimal as a percent

goldfiish [28.3K]

Answer:

3/5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Da A Solve the equation 2x^2+3=0

Anika [276]

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Solving quadratics

Algebra II

Imaginary root i

√-1 = i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3
[Division Property of Equality] Divide 2 on both sides: x² = -3/2
[Equality Property] Square root both sides: x = ±√(-3/2)
Simplify: x = ±i(√6 / 2)

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3 years ago

if 18 horses finished a certain amount of corn in 64 days. 72 horses will finish the same quantity at the same rate?

zaharov [31]

Answer:

It is 4

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5 0

2 years ago