Question

Linear equation ax+by=c in the form of y= mx+b 1.3x+4y=8 2.16x+9y=40 3.10x+3y=2​

Answer 1

SOLUTION

TO EXPRESS

Linear equation ax + by = c in the form of

y = mx + b

1. 3x + 4y = 8

2. 16x + 9y = 40

3. 10x + 3y = 2

EVALUATION

1. Here the given equation is

3x + 4y = 8 ............. (1)

Which is of the form ax + by = c

The equation can be rewritten as below :

4y = - 3x + 8

$\displaystyle\implies \sf{ y = - \frac{3}{4} x + 2 }$

Which is of the form y = mx + b

2. Here the given equation is

16x + 9y = 40 ............. (2)

Which is of the form ax + by = c

The equation can be rewritten as below :

9y = - 16x + 40

$\displaystyle\implies \sf{ y = - \frac{16}{9} x + \frac{40}{9} }$

Which is of the form y = mx + b

3. Here the given equation is

10x + 3y = 2 ............. (2)

Which is of the form ax + by = c

The equation can be rewritten as below :

3y = - 10x + 2

$\displaystyle\implies \sf{ y = - \frac{10}{3} x + \frac{2}{3} }$

Which is of the form y = mx + b

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