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प्रश्न
Verify by substitution that the root of 3 + 2x = 9 is x = 3.
उत्तर
\[3 + 2x = 9\]
Substituting x = 3 in the given equation:
\[L . H . S . \hspace{0.167em} : \]
\[3 + 2 \times 3\]
\[\text{or}, 3 + 6 = 9 = R . H . S . \]
\[L . H . S . = R . H . S . \]
Hence, x = 3 is the root of the given equation.
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संबंधित प्रश्न
Solve the following equation by trial and error method:
5p + 2 = 17
Write the given equation in statement form:
2m = 7
Add the following:
\[m^2 - 4m + 5\]
\[ - 2 m^2 + 6m - 6\]
- m^2 - 2m - 7
_______________
Simplify:
3 − [x − {2y − (5x + y − 3) + 2x2} − (x2 − 3y)]
Write a statement for the equation, given below:
2y = 18
Verify by substitution that the root of \[\frac{z}{7} = 8\]
Solve the following equation and verify the answer:
3(x + 6) + 2(x + 3) = 64
Solve: 3(x + 2) − 2(x − 1) = 7.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
17 = x + 7
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 |
______ |
