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प्रश्न
Solve the following equation and verify the answer:
16(3x − 5) − 10(4x − 8) = 40
उत्तर
16(3x − 5) − 10(4x − 8) = 40
or, \[16 \times 3x - 16 \times 5 - 10 \times 4x - 10 \times ( - 8) = 40\] [On expanding the brackets]
or, 48x - 80 - 40x + 80 = 40
or, 8x = 40
or, \[\frac{8x}{8} = \frac{40}{8}\] [Dividing both the sides by 8]
or, x = 5
Verification:
Substituting x = 5 in the L.H.S.:
\[16(3 \times 5 - 5) - 10( 4 \times 5 - 8)\]
\[ \Rightarrow 16(15 - 5) - 10(20 - 8)\]
\[ \Rightarrow 16(10) - 10(12)\]
\[ \Rightarrow 160 - 120 = 40 = R . H . S .\]
L.H.S. = R.H.S.
Hence, verified.
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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 |
______ |
