How do you write the following linear equations in standard form ?
1 answer:
Hi<span>, Victoriasoto93p63zva!
To rewrite these equations in standard form you need to understand that standard form looks something like this Ax+By=C, now obviously there will be variations like </span>Ax-By=C or -Ax+By=C, etc..., but for these expressions, they would look like this:
<span>1. -8y + 0x = 37
2. 14x </span>+ 4y<span> = -18
3. x + </span>
y = 
<span>
4. 13x + 0y = -25
-</span><span>ASIAX</span><span> </span><span>Frequent Answerer</span>
To rewrite these equations in standard form you need to understand that standard form looks something like this Ax+By=C, now obviously there will be variations like </span>Ax-By=C or -Ax+By=C, etc..., but for these expressions, they would look like this:
<span>1. -8y + 0x = 37
2. 14x </span>+ 4y<span> = -18
3. x + </span>
4. 13x + 0y = -25
-</span><span>ASIAX</span><span> </span><span>Frequent Answerer</span>
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Answer:
<h2>2 pizzas </h2>Step-by-step explanation:
The <em><u>correct answer</u></em> is:
15 bicycles and 6 skateboards.
Explanation:
Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then
x+y = 21, since there are 21 total items in the shop.
Each bicycle has 2 tires and each skateboard has 4; this gives us the equation
2x+4y=54 (because they are ordering 54 tires).
This makes our system
We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:
Now we will subtract the second equation from the first one:
Divide both sides by -2:
-2y/-2 = -12/-2
y = 6
There were 6 skateboards. Substituting this into the first equation,
x+6 = 21
Subtract 6 from each side:
x+6-6 = 21-6
x = 15
There were 15 bicycles.