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Anna11 [10]
3 years ago
7

How do you substitute x+y=2 3x+2y=5

Mathematics
2 answers:
Stells [14]3 years ago
7 0
First you have to solve for one of the unknowns in one of the problems, then substitute it into the other problem to solve for the other unknown... Sound complicated?... Not really! Let me show you...

Let's take the first equation... we'll solve for x

x + y = 2
x = 2 - y 

Ok, now we have an expression for the value of x.  It's 2 - y.  So let's substitute it into the other equation.

3x + 2y = 5
3 (2 - y) + 2y = 5  distribute the 3 into the parentheses
6 -3y + 2y = 5  now lets solve for y.  We need to isolate it so subtract 6                              from both sides.
6 - 3y + 2y - 6 = 5 - 6  Now combine like terms
-y = -1
y = 1

Now we have a number value for y we can substitute it back into the 1st equation and find the number value of x

x + y = 2
x + 1 = 2
x = 1

So our answer is (1, 1)

Wasn't that easy!!
Monica [59]3 years ago
4 0
Here's how you solve this.  So, x+y=2, right?  Let's isolate x.  x+y-y=2-y.  x=2-y.  NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y!  3x+2y=5.  3(2-y)+2y=5.  (3*2)+(3*-y)+2y=5.  6+(-3y)+2y=5.  6+(-y)=5.  6+(-y)-6=5-6.  -y=-1.  -y/-1=-1/-1.  y=1.

So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2.  x+1=2.  x+1-1=2-1.  x=1.  1+1=2, so that works; let's check the other equation.  3(1)+2(1)=5.  3+2=5.  5=5.  That's correct!

Answer: x=1, y=1
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When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

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2 years ago
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GREYUIT [131]

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<u>Pre-Algebra</u>

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Step-by-step explanation:

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