Question

solve the system using the subsition method (if there is no solution enter no solution if there are infineite solutions put infinite8w + 24y = 10Y= -1/3w + 5/12

Answer 1

Given:

$8w+24y=10\ldots.(1)$$y=-\frac{1}{3}w+\frac{5}{12}\ldots.\text{ (2)}$

By taking the equation (1)

$24y=10-8w$$y=\frac{10-8w}{24}\ldots.\text{ (3)}$

Substitue the equation (3) in equation (1)

$\frac{10-8w}{24}=-\frac{1}{3}w+\frac{5}{12}$$\frac{10-8w}{24}=\frac{-4w+5}{12}$$\frac{10-8w}{2}=\frac{-4w+5}{1}$$1(10-8w)=2(-4w+5)$$10-8w=-8w+10$$8w-8w=10-10$$0=0$

Therefore,the system of equation has infinitely many solution.