<span><u>3x + 8 = 26 + x</u>
The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.
The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.
To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:
The original problem: </span><span><u>3x + 8 = 26 + x</u>
Subtract 8 from each side:
3x = 18 + x
Subtract 'x' from each side:
2x = 18
Divide each side by 2 :
<u>x = 9 </u> .
That's what the answer looks like, and that's what the answer is.
' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.
I'll show you what I mean. Let's take the original problem
</span><span> <u><span>3x + 8 = 26 + x
</span></u><span>and let's write ' 2 ' wherever we see 'x' :
3 (2) + 8 = 26 + 2
3 (2) means 3 times 2, and that's 6 .
So now we have
6 + 8 = 26 + 2
Do the addition on each side, and we have
14 = 28 .
That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>
</span>
Answer:
The answer is 18 percent, or 9/50.
Step-by-step explanation:
We first convert the chance of rain on Monday into a fraction.
60%=60/100=3/5.
We then convert the chance of rain on Tuesday into a fraction.
30%=30/100=3/10.
Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:
3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)
Answer:
Step-by-step explanation:
1. Swap sides
Swap sides:
2. Isolate the y
Multiply to both sides by 18:
Group like terms:
Simplify the fraction:
Multiply the fractions:
Simplify the arithmetic:
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Why learn this:
- Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
- Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
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Terms and topics
- Linear equations with one unknown
The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.
We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.
An equation of:
in which 
and 
are the constants and 
is the unknown variable, is a typical linear equation with one unknown. To solve for in this example, we would first isolate it by subtracting from both sides of the equation. We would then divide both sides of the equation by resulting in an answer of:
Count the amount of 1 bag then you know one bag. The same amount has to be in each bag. So just multiply it by 3. The answer per bag is 10 so there are 30 blocks
Answer:
-s = -4
Step-by-step explanation:
-9s - 4 = -8s = -9s + 8s = -4 = -s= -4
