Solving inequalities when x is on both sides move all variables to the left

Mathematics

1 answer:

Vesna [10]3 years ago

5 0

Yes, you would try to simplify the equation as much as possible in order to get the variable.

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5x - 2 = 10 - X Please help

finlep [7]

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

Add x to both sides

6x - 2 = 10

Add 2 to both sides

6x = 12

Divide both sides by 6

x = 2

3 0

3 years ago

Help me please

Nimfa-mama [501]

They are both in standard form.

7 0

3 years ago

The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How fa

Zinaida [17]

(2 * 70) + (3 * 35) = 140 + 105 = 245 miles

6 0

4 years ago

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

olasank [31]

Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x = number of bookshelves built.
Let y = number of tables built.

The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.

5 0

3 years ago

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

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<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

Let:

Volumes of 2% Solution = x

Volumes of 10% Solution = y

$\texttt{ }$

Total Volume = 10 ml

$\boxed{x + y = 10}$ → Equation 1