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Linear Equations In Two Variables — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLinear Equations In Two Variables2 Marks
Question
Find the value of $\lambda$ if $\text{x}=-\lambda$ and $\text{y} = \frac{5}{2}$ is a solution of the equation $x + 4y - 7 = 0$
✓

Answer

We are given, $x + 4y - 7 = 0 (-\lambda, -5)$ is a solution of equation $3x + 4y = k$
Substituting $\text{x}=-\lambda$ and $\text{y} = \frac{5}{2}$ in $x + 4y - 7 = 0,$
We get; $-\lambda+ 4 \times\Big(\frac{5}{2}\Big) - 7 $
$= 0 -\lambda + 4 \times\frac{5}{2} - 7 = 0$
$\lambda = 10 - 7$
$\lambda = 3$

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