Solve: 101x-99y=103 -99x+101y=-97
1 answer:
Answer:
Step-by-step explanation:
Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.
Better, now let's simplify the expression and let's use the new system
Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get which, if you check by replacing in the original, is indeed a valid solution.
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Answer:
<h3>A) </h3>First were going to put our numbers in perspective.
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But to find the improper fraction, we have to <em>cross multiply</em> these numbers.
×
<em>7 x 5 = 35. </em>
<em>4 x 8 = 32.</em>
Now we have our<em> improper fraction </em>is
To turn our improper fraction into a <em>mixed number</em>, we will use <em>division</em>.
We know that the 32 can only go into 35 <u><em>one</em></u> time. We also know that the bottom number <em><u>always</u></em> stays the same. So our equation will look somewhat like this.
Now to fine the top number we will have to<em> subtract 35 from 32</em> because we already know that 32 can go into 35 <u><em>one</em></u> time, so <em>35 - 32 = 3</em>. So are mixed number will look like this.
This is our <em>answer!</em>