Question

Solve each system by substitution

-x+8y=4
x+y=5​

Answer 1

The value of x , y is 4 , 1

Explanation:

Given two linear equation as :

- x + 8 y = 4 ......A

x + y = 5 ......B

Now, Solving using substitution method

Put the value of x from eq B into eq A

Since x = 5 - y

So, - (5 - y) + 8 y = 4

Or , - 5 + y + 8 y = 4

Or, 9 y = 4 + 5

Or, 9 y = 9

∴ y =
`(9)/(9)`

i.e y = 1

So, The value of y = 1

Now, Putting y value into Eq B

Since, x = 5 - y

So, x = 5 - 1

i.e x = 4

So, The value of x = 4

Hence, The value of x , y is 4 , 1 Answer