Question

How do you solve y = -5x + 30 and y = 6 - 2x?

Answer 1

Answer:

$y = - 5x + 30 ....(i)\\ y = \: \: \: \: 6 - 2x....(ii)$

On comparing (i) and (ii), we have ;

$- 5x + 30 = 6 - 2x \\ \\ - 5x + 2x = 6 - 30 \\ \\ - 3x = - 24 \\ \\ x = \frac{24}{3} \\ \\ \boxed{ \fcolorbox{red}{yellow}{ \bf x = 8}}$

Substituting the value of x in (I)

$y = - 5x + 30 \\ \\ y = - 5 \times 8 + 30 \\ \\ y = - 40 + 30 \\ \\ \boxed{ \fcolorbox{red}{yellow}{ \bf y = - 10}}$

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