Question

3/4x-2/3y=1
3/8x-1/6y=1
by elimination method.​

Answer 1

Answer:

x = 3

y = 3/4

Step-by-step explanation:

$\frac{3}4} x - \frac{2}{3}y =1\\\\\frac{9x-8y}{12} = 1\\\\9x -8y = 12 - Equation 1\\\\\frac{3}{8}x - \frac{1}{6}y = 1\\\\\frac{9x - 4y}{24} = 1\\\\9x - 4y= 24 - Equation 2 \\\\ Equation 1 - Equation 2\\\- \left\begin{array}{ccc}9x&-8y&=12\\9x&-4y&= 24\\(-)&(+)&(-)\end{array}\right$

⇒$-4x = -12\\x = 3$

Substituting x in Equation 2

$9x - 4y = 24\\9(3) - 4y = 24\\27 - 4y = 24\\-4y = -3\\y = -\frac{3}{4}$  

Answer 2

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