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3 years ago

What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x?

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

7 0

x = 3

Step-by-step explanation:

First we would simplify the left hand side of the equation by expanding the brackets

so 2(4-3x) = 8-6x and

5(2x-3) = 10x-15

This gives the left hand side as 8-6x+10x-15. So the overall equation becomes

8-6x+10x-15 = 20-5x.

Grouping the unknown values on one side and integers on one side of the equation gives us

8-15-20=6x-10x-5x (note the sign changes when numbers and unknown values are moved to the other side of the = sign

Solving further, -27 = -9x i.e x = -27/-9 = 3

Hence x = 3

lawyer [7]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe

alina1380 [7]

Answer:

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

Step-by-step explanation:

According to the statement, we have the following relationship:

$y = k\cdot x^{3}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$k$ - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

$\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}$

If we know that $y_{1} = y$ , $y_{2} = 5$ , $x_{2} = x_{o}$ and $x_{1} = \frac{1}{2}\cdot x_{o}$ , then the value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is:

$\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}$

$\frac{5}{y} = 8$

$y = \frac{5}{8}$

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

5 0

2 years ago

guapka [62]

DON'T SEARCH FOR ANYTHING ON THE WEB OR THE INTERNET IS A SINGLE PAGE

7 0

2 years ago

densk [106]

x/2 + 10 = 35 - 2x

x/2 + 2x = 35 - 10

5x/2 = 25

5x = 25.2

5x = 50

x = 50/5

x = 10

The number is 10

6 0

3 years ago

Is 2.64 greater or less than 1.9?

Schach [20]

2.64 is greater than 1.9

4 0

2 years ago

I really need help please and thankyou

Jet001 [13]

Answer:

answer is (d) 4/3

Step-by-step explanation:

-x+3/7=2x-25/7

25/7+3/7=2x+x

28/7=3x

4=3x

x=4/3

7 0

3 years ago