Question

(c) Solve the following equations for respective
values of x and y.
3x + 8y = 30 and 6x - y = 9

Answer 1

$\huge\boxed{ \bf{\fcolorbox{red}{pink}{Answer}}}$

x = 2

y = 3

$\huge\boxed{ \bf{\fcolorbox{red}{pink}{Explanation}}}$

3x + 8y = 30__________(1)

6x - y = 9

× 8

48x - 8y = 72__________(2)

(1) + (2)

$03x + \cancel8y = 30 \\ - \underline{ 48x - \cancel8y = 72 \: \: \: \: }\\ \: \: \: \: \underline{ 51x + 0y = 102}$

$51x = 102$

$x = \frac{102}{51} = 2$

Apply x = 2 in (2)

6(2) - y = 9

12 - y = 9

12 - 9 = y

y = 3

• This method is known as Elimination method.
• This is a easiest method to find x and y.