4. Linear Equations in Two Variables
medium

સુરેખ સમીકરણ $2x + 5x = 19$ ના આલેખ પર જેનો ભુજ તેની કોટિ કરતાં $1\frac {1}{2}$ગણો હોય એવું બિંદુ દર્શાવો.

Option A
Option B
Option C
Option D

Solution

Let the coordinate of the point be $(2,3).$

Now, for $x=2$ and $y=3.$

$2 x+5 y=2(2)+5(3)=4+15=19.$

Therefore, the point $(2,3)$ is a solution of the equation $2 x+5 y=19 .$

Abscissa of the point is $2$ and ordinate is $3 .$

Now, $\quad 2 \times 1 \frac{1}{2}=2 \times \frac{3}{2}=3$

So, ordinate of the point $(2,3)$ is $1 \frac{1}{2}$ times its abscissa.

Standard 9
Mathematics

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