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crimeas [40]
3 years ago
13

3x-7y=-28 Need help solving the question

Mathematics
1 answer:
Valentin [98]3 years ago
7 0
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Simplifying

3x + 7y = 28


Solving

3x + 7y = 28


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '-7y' to each side of the equation.

3x + 7y + -7y = 28 + -7y


Combine like terms: 7y + -7y = 0

3x + 0 = 28 + -7y

3x = 28 + -7y


Divide each side by '3'.

x = 9.333333333 + -2.333333333y


Simplifying

x = 9.333333333 + -2.333333333y

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Which number line represtents the solution to |x+4|=2?​
vlada-n [284]

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

7 0
2 years ago
Solve the inequality for x: -3(2x+5) &lt; -45
balandron [24]

Answer:

x>5

Step-by-step explanation:

-3(2x+5)<-45

2x+5<-45/-3

2x+5<15

2x<15-5

2x<10

x<10/2

x<5

x>5

7 0
3 years ago
Solve: x/x+2 + 5/x-3 = 25/x2-x-6
Paraphin [41]

Answer:

x1=3  x2=-5

BUT x1=3 is not an answer because it doesnt respects the range on the original ecuation, so x2=-5 is the solution

Step-by-step explanation:

6 0
2 years ago
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