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3 years ago

How do you solve 12+5x = 18+3x

Mathematics

2 answers:

guajiro [1.7K]3 years ago

6 0

Answer: x = 3

Step-by-step explanation:Simplifying

12 + 5x = 18 + 3x

Solving

12 + 5x = 18 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + 5x + -3x = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x

12 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0

12 + 2x = 18 + 0

12 + 2x = 18

Add '-12' to each side of the equation.

12 + -12 + 2x = 18 + -12

Combine like terms: 12 + -12 = 0

0 + 2x = 18 + -12

2x = 18 + -12

Combine like terms: 18 + -12 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3

saul85 [17]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

First, get your variables and constants separated on either side of the =

Whatever you do to one side, you have to do to the other.

12 + 5x = 18 + 3x

subtract 3x from both sides to cancel out the 3x on the right:

12 + 5x - 3x = 18 + 3x - 3x

12 + 2x = 18

subtract 12 from both sides to cancel out the 12 on the left side:

12 - 12 + 2x = 18 - 12

now just solve for x

2x = 6

divide both sides by 2 to cancel out the 2 on the left side:

2x / 2 = 6 / 2

x = 3

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There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of

Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

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5 0

3 years ago

????????????????????

Snowcat [4.5K]

Greetings!

Substitute:
$x+y=1000 \\ x=1000-y$
Now we can input this into the other equation so, we only have one variable.

Solve for y.
$0.05(1000-y)+0.06y=57$
Distribute the parenthesis.
$50-0.05y+0.06y=57$
Combine Like Terms.
$50-0.01y=57$
Add -50 to both sides.
$(50-0.01y)+(-50)=(57)+(-50)$
Simplify.
$0.01y=7$
Divide both sides by 0.01.
$(0.01y)/0.01=(7)/0.01$
Simplify.
$y=700$

Input this value into the other equation.
$x+700=1000$
Add -700 to both sides.
$(x+700)+(-700)=(1000)+(-700)$
Simplify.
$x=300$

The answer would be 300,700

Hope this helps.
-Benjamin

8 0

3 years ago