Advertisements
Advertisements
प्रश्न
Solve the following equation and verify the answer:
3(2 − 5x) − 2(1 − 6x) = 1
उत्तर
3(2 − 5x) − 2(1 − 6x) = 1
or, 3 × 2 + 3 × (−5x) − 2 × 1 − 2 × (−6x) = 1 [On expanding the brackets]
or, 6 − 15x − 2 + 12x = 1
or, 4 - 3x = 1
or, 3 =3x
or, x = 1
Verification:
Substituting x = 1 in the L.H.S.:
\[3(2 - 5 \times 1) - 2(1 - 6 \times 1)\]
\[ \Rightarrow 3(2 - 5) - 2(1 - 6)\]
\[ \Rightarrow 3( - 3) - 2( - 5)\]
\[ \Rightarrow - 9 + 10 = 1 = R . H . S .\]
L.H.S. = R.H.S.
Hence, verified.
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 = 0 |
Complete the last column of the table.
Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
5x = 25 | x = 5 |
Add 3x, 7x
Solve the following equation and verify the answer:
3(x + 2) − 2(x − 1) = 7
For any two integers x and y, which of the following suggests that operation of addition is commutative ?
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
7 = (11 × 5) − (12 × 4)
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
20 = 5y
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
x + 4 = 2 (− 2, 0, 2, 4)
Complete the table and by inspection of the table, find the solution to the equation m + 10 = 16.
m |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
______ |
m + 10 |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
x exceeds 3 by 7, can be represented as ______.