Given that y - cx - d-b-then- what is the value of x- in ax - by - c - 0 if b - 0 - a - c - 0-

(Given: ax + by + c = 0, Also given y=(cx+d)/b, substitute this in ax + by + c = 0 We get ax + [b (cx + d)/b] + c = 0 So, ax + cx + d + c = 0 (a+c)x = d c ...

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Standard IX

Mathematics

Solving Equations Using Method of Substitution

Given that y ...

Question

$G i v e n t h a t y = \frac{(c x + d)}{b}$ ;

then, what is the value of x, in $a x + b y + c = 0$

if $b \neq 0 & (a + c) \neq 0$ ,

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Solution

(Given: ~ax + by + c = 0,\)
Also given $y = \frac{(c x + d)}{b}$ , substitute this in $a x + b y + c = 0$
$W e g e t a x + [b \frac{(c x + d)}{b}] + c = 0$
$S o, a x + c x + d + c = 0$
$(a + c) x = - d - c$
$T h e r e f o r e, x = \frac{(- d - c)}{(a + c)}$ . (1 mark)

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Q. Given that

y = \frac{(c x + d)}{b},where b \neq 0.

If a x + b y + c = 0, where (a + c) \neq 0

,
then what is the value of

x

Given that y = \frac{(c x + d)}{b}

;

where b \neq 0 & (a + c) \neq 0

then, what is the value of x, if a x + b y + c = 0 ?

$G i v e n t h a t y = \frac{(c x + d)}{b}$ ;

then, what is the value of x, in $a x + b y + c = 0$

if $b \neq 0 & (a + c) \neq 0$ ,

In the equation $a x + b y + c = 0$ , if y= $\frac{(c x + d)}{b}$ and a = d, then what is the value of ' $x$ ' ?

Given that $y = \frac{(c x + d)}{b}$ ;

where $b \neq 0 & (a + c) \neq 0$ ,

then, what is the value of x, if $a x + b y + c = 0$ ?

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Given that y=(cx+d)b; then, what is the value of x, in ax+by+c=0 if b≠0 & (a+c)≠0,

(Given: ~ax + by + c = 0,\) Also given y=(cx+d)b, substitute this in ax+by+c=0 We get ax+[b(cx+d)b]+c=0 So, ax+cx+d+c=0 (a+c)x=−d−c Therefore, x=(−d−c)(a+c). (1 mark)

$G i v e n t h a t y = \frac{(c x + d)}{b}$ ;

then, what is the value of x, in $a x + b y + c = 0$

if $b \neq 0 & (a + c) \neq 0$ ,

(Given: ~ax + by + c = 0,\)
Also given $y = \frac{(c x + d)}{b}$ , substitute this in $a x + b y + c = 0$
$W e g e t a x + [b \frac{(c x + d)}{b}] + c = 0$
$S o, a x + c x + d + c = 0$
$(a + c) x = - d - c$
$T h e r e f o r e, x = \frac{(- d - c)}{(a + c)}$ . (1 mark)