The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
The only error you made is on problem 3. Everything else is correct. Nice work.
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Here is how to solve problem 3
Plug x = 1 into the equation and solve for y
-3x + y = 1
-3*1 + y = 1 ... replace x with 1
-3 + y = 1
y - 3 = 1
y - 3 + 3 = 1 + 3 .... add 3 to both sides
y = 4
<h3>The answer is 4</h3>
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Verifying the answer:
Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.
-3x + y = 1
-3*1 + 4 = 1 ..... replace x with 1; replace y with 4
-3 + 4 = 1
1 = 1
The answer is confirmed.
If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.
Answer:
B
Step-by-step explanation:
I hope this helps!
!5% is equivalent to 15 parts over the whole 100 part. It is written in proportions as 15/100.
Similarly, you need to find how many parts in 80 are equivalent to 15%or 15/100. So, just equate both equation with x as an unknown.
x/80 = 15/100
x = (15/100)*80
x = 12
Thus, the 15% of 80 is 12.
Answer:
Step-by-step explanation:
BC = 60
CA = 45
AB = sqrt(45^2 + 60^2)
AB = sqrt(2025 + 3600)
AB = sqrt(5625)
AB = 75
