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Practice each question, then open the answer or worked solution.
4x – 5 = 7 does not have an integer as its solution.
Solution:-
False.
Consider the equation, 4x – 5 = 7
Transpose -5 to RHS then it becomes 5.
4x = 7 + 5
4x = 12
x = 12/4
x = 3
One third of a number added to itself gives 10, can be represented as (x/3) + 10 = x
Solution:-
False.
One third of a number added to itself = (x/3) + x
One third of a number added to itself gives 10, can be represented as (x/3) + x = 10
3/2 is the solution of the equation 8x – 5 = 7.
Solution:-
True.
Consider the equation, 8x – 5 = 7
Transpose -5 to RHS; then it becomes 5.
8x = 7 + 5
8x = 12
x = 12/8
x = 3/2
If 4x – 7 = 11, then x = 4.
Solution:-
False.
Consider the equation, 4x – 7 = 11
Transpose -7 to RHS; then it becomes 7.
4x = 11 + 7
4x = 18
x = 18/4
x = 9/2
If 9 is the solution of variable x in the equation ((5x – 7)/2) = y, then the value of y is 28.
Solution:-
False.
Consider the equation, ((5x – 7)/2) = y
Then, from the question, it is given that the value of x = 9
So, (((5 × 9) – 7)/2) = y
((45 – 7)/2) = y
38/2 = y
y = 19