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Answers
Answer:
1. An equation is a mathematical sentence that has two equal sides separated by an equal sign. 4 + 6 = 10 is an example of an equation. We can see on the left side of the equal sign, 4 + 6, and on the right hand side of the equal sign, 10.
2. 8x= 88
3. 3 less than twice the number x equals to 13.
4. x+15= 82
=> x = 82-15
=> x= 67
5. Solution is called a number which makes L.H.S= R.H.S when it is substituted for variable in equation is said to satisfy the equation.
II. 1. x+9=13 ( we try several values for x)
Let, x= 1
Then, 1+9
= 10
Which is not equal to 13
Let x = 2
2+9
= 11
Which is not equal to 13
Let, x = 4
4+9
= 13
So, x= 4
2. 3x(2+6)= 24
=> 6x+18=24
=> 6x=24-18
=> 6x=6
=> x= 6/6
=> x = 0
III.1. Let, the number be X
According to question:-
=> x+x+x+5= 50
=> 3x+5=50
=> 3x= 50-5
=> 3x= 45
=> x= 45/3
=> x= 15
So,the number is 15.
2. Let the lenght of rectangular hall be lm
And, breadth be bm
Given, l= b+5
According to question,
Perimeter= 74
2{b+(b+5)}=74
=> 2(2b+5)=74
=> 2b+5 = 37
=> 2b= 32
=> b= 16
So, breadth of rectangular hall is 16m
And, lenght of rectangular hall is (b+5)
=> (16+5)
=> 21m.
HOPE IT HELPS YOU ✌️✌️
Step-by-step explanation: