Answer:
x =
Step-by-step explanation:
all you need to do for this equation, is solve using the quadratic formula
a = 1
b = 3
c = -5
E = mc squared m = 3 c =6. solve for e
2 answers:
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On the number line, 3 and 11 are the numbers that are a distance of 4 units from 7..
On there are two types of numbers one is a positive and the other is a negative number. These two are separated by the number zero which is known as the origin. Positive numbers are on the right side of the origin and negative numbers are on the left side of the origin on the number line.
We have been asked the numbers which are a distance of 4 units from 7 on the number line.
For that, we will first add 4 to the number 7, that is,
4 + 7 = 11
Thus, number 11 is a distance of 4 units from 7 on the number line if we move to the right side from 7.
Now we will subtract 4 from the 7 we will get,
7-4 = 3
Thus, Number 3 is a distance of 4 units from 7 on the number line if we move to the left side from 7.
Hence 3 and 11 are the numbers that are a distance of 4 units from 7 on the number line.
Learn more about the number line here: brainly.com/question/77754
#SPJ9
Answers:
- System 1: x = 3 and y = -5
- System 2: x = 1 and y = 2
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Explanation:
For now, let's focus on system 1.
We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.
- The x terms subtract to 7x-x = 6x
- The y terms subtract to 0 and go away
- The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18
After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.
Once we know x, we can find out y.
7x+2y = 11
7(3)+2y = 11
21+2y = 11
2y = 11-21
2y = -10
y = -10/2
y = -5
or we can say
x+2y = -7
3+2y = -7
2y = -7-3
2y = -10
y = -10/2
y = -5
We should lead to the same y value either way. This helps confirm we have the correct x value.
Overall, the solution to system 1 is (x,y) = (3, -5)
----------------------------
Now onto system 2.
Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.
The new equivalent system is
Now we have the same situation as before: Subtract straight down, solve for x.
- The x terms subtract to 7x-(-2x) = 7x+2x = 9x
- The y terms go away when subtracting
- The right hand sides subtract to 11-2 = 9
So we have 9x = 9 and that solves to x = 1.
We'll use this x to find the y value.
7x+2y = 11
7(1)+2y = 11
7+2y = 11
2y = 11-7
2y = 4
y = 4/2
y = 2
Or you could pick on the second equation
-x+y = 1
-1+y = 1
y = 1+1
y = 2