-2x+y=5
x-3y=-30 so you can multiply the bottom equation by 2 you'll get 2x-6y=-60
-2x+y=5
2x-6y=-60 And subtract the equations. You'll get -5y=-55 y=11. Plug it in to one of the original equations. -2x+(11)=5
-2x=-6 so x=3
y=11 and x=3
The answer is false. I hope this helps love! :)
<h3>
Answer: choice C) 15</h3>
Simplify the left side to get
2(4+x)+(13+x)
2(4)+2(x) +13+x
8+2x+13+x
3x+21
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So the original equation
2(4+x)+(13+x) = 3x+k
turns into
3x+21 = 3x+k
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Subtract 3x from both sides
3x+21 = 3x+k
3x+21-3x = 3x+k-3x
21 = k
k = 21
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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.
If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then
3x+21 = 3x+k
3x+21 = 3x+15
21 = 15 .... subtract 3x from both sides
The last equation is false, so there are no solutions here.
note: if you replace k with a variable term, then there will be exactly one solution.
Answer:
<h3>Step 4</h3>
Step-by-step explanation:
Given the expression 7+(-2)
Let 7 be 7 positive tiles since it is a positive number
Let -2 be 2 negative tiles being a negative number
7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles
note that + * - will give minus sigh (-), the expression will become:
7+(-2) = 7-2
7-2 = 5
Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.
Hence Jillian made an error in step 4
Answer:
(x+3, y+2)
Step-by-step explanation:
choose a letter: let's use points A and A'
A: (-3, 3)
A': (0, 5)
the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)
Try it on another point:
B: (-4, 0)
B': (-4+3, 0+2) = (-1, 2) which checks out!
