If a point -4-3-4lies on the line 5x - by - 7- then the value of b is

Given that ( 4, 3/4) lies on 5x + by = 7. Substituting x = –4 and y= 3/4 in 5x + by = 7, we get 5( 4)+b( 3/4)=7 ⇒ 3/4b = 7 + 20 =27 ⇒ b = 27 × ( 4/3) = 36 Hen ...

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Standard IX

Mathematics

Solution of Linear Equation in 2 Variables

If a point -4...

Question

If a point $(- 4, \frac{- 3}{4})$ lies on the line $5 x + b y = 7$ , then the value of b is

-20

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-25

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-36

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Solution

The correct option is C -36
Given that $(- 4, \frac{- 3}{4})$ lies on $5 x + b y = 7$ . Substituting x = –4 and $y = \frac{- 3}{4}$ in $5 x + b y = 7$ , we get
$5 (- 4) + b (\frac{- 3}{4}) = 7$
$\Rightarrow \frac{- 3}{4} b = 7 + 20 = 27$
$\Rightarrow b = 27 \times (\frac{- 4}{3}) = - 36$
Hence, the correct answer is option (c).

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If a point (−4,−34)lies on the line 5x+by=7, then the value of b is

The correct option is C -36Given that (−4,−34) lies on 5x+by=7. Substituting x = –4 and y=−34 in 5x+by=7, we get 5(−4)+b(−34)=7 ⇒−34b=7+20=27 ⇒b=27×(−43)=−36 Hence, the correct answer is option (c).

If a point $(- 4, \frac{- 3}{4})$ lies on the line $5 x + b y = 7$ , then the value of b is