Question

Y=1/3x+2 and y=2/3x-1

Answer 1

Answer:

The value of x and y is  9, 5.

Step-by-step explanation:

$\ The \ Given \ value:\\\\y=\frac{1}{3}x+2........................(i)\\\\ y= \frac{2}{3}x-1 ..........................(ii)$

first we subtract the equation (i) to (ii)...

$y=\frac{1}{3}x+2 \\\\y= \frac{2}{3}x-1\\\\0 = \frac{1}{3} x- \frac{2}{3}x + 2+1 \\\\-3= \frac{1-2}{3} x\\\\-3 = - \frac{1}{3}x\\\\ \frac{1}{3} x= 3 \\\\x=9$

Put the value of x in equation (i) ...

equation (i)

$y= \frac{1}{3} x+2\\\\y= \frac{1}{3} \times 9+2\\\\y= 3+2\\\\y=5$