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प्रश्न
The shifting of a number from one side of an equation to other is called ______.
विकल्प
Transposition
Distributivity
Commutativity
Associativity
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उत्तर
The shifting of a number from one side of an equation to other is called transposition.
Explanation:
If we have an equation, say x + a = 0, then x = – a.
Here we have shifted number ‘a’ from left-hand side to right-hand side.
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| `m/3 = 2` | m = -6 |
Check whether the value given in the bracket is a solution to the given equation or not:
4p − 3 = 13 (p = 0)
Write equation for the following statement:
Ten times a is 70.
Set up an equation in the following case:
Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years.)
Add the following:
\[2 x^2 - 3xy + y^2 \]
\[ - 7 x^2 - 5xy - 2 y^2 \]
4 x2 + xy - 6 y2
_______________
Write the following statement as an equation:
A number divided by 8 gives 7.
Write a statement for the equation, given below:
12y − 30 = 6
Solve the following equation and verify the answer:
3x − 5 = 13
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
5 × 4 − 8 = 2x
Complete the entries in the third column of the table.
|
S.No. |
Equation |
Value of variable |
Equation satisfied Yes/No |
|
(a) |
10y = 80 |
y = 10 |
______ |
|
(b) |
10y = 80 |
y = 8 |
______ |
|
(c) |
10y = 80 |
y = 5 |
______ |
|
(d) |
4l = 20 |
l = 20 |
______ |
|
(e) |
4l = 20 |
l = 80 |
______ |
|
(f) |
4l = 20 |
l = 5 |
______ |
|
(g) |
b + 5 = 9 |
b = 5 |
______ |
|
(h) |
b + 5 = 9 |
b = 9 |
______ |
|
(i) |
b + 5 = 9 |
b = 4 |
______ |
|
(j) |
h − 8 = 5 |
h = 13 |
______ |
|
(k) |
h − 8 = 5 |
h = 8 |
______ |
|
(l) |
h − 8 = 5 |
h = 0 |
______ |
|
(m) |
p + 3 = 1 |
p = 3 |
______ |
|
(n) |
p + 3 = 1 |
p = 1 |
______ |
|
(o) |
p + 3 = 1 |
p = 0 |
______ |
|
(p) |
p + 3 = 1 |
p = − 1 |
______ |
|
(q) |
p + 3 = 1 |
p = − 2 |
______ |
