3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
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The 18th sequence is - 41
Answer:
The range is 69
Step-by-step explanation:
We have that the least value of the data set is 20 and the highest value is 89.
From the available information, we can only find the range of the data set.
The range is the highest value minus the least value.
This implies that, the range is 
Answer:
66
Step-by-step explanation:
Slope=change in y/change in x
1/3 = 5-2/x-4 (or 2-5/4-x)
1/3 = 3/x-4
then cross multiply
1(x-4) = 3(3)
x-4=9
add 4 to both sides
x=13
