What is the solution of the system? x+8y=17 x+y=3

Asked on by istetz

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

x + 8y = 17

x + y   =  3

First subtract " x " with " x " ( which means subtract 8y with " y " and 17 with 3 )

By subtracting, you should et

7y = 14 now divide both sides by 7

By dividing, you should get

y = 2 which is your answer for " y "

Now plug 2 into one of the equatino

x + 2 = 3 subtract 2 on both sides

By subtracting, you should get

x = 1 which is your answer for " x "

So your answer is x = 1 ; y = 2

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll solve the system using elimination method. For this reason, w'ell subtract the second equation from the first:

x + 8y - x - y = 17 - 3

We'll eliminate and combine like terms:

7y = 14

We'll divide by 7 both sides:

y = 2

We'll substitute y = 2 into the 2nd equation:

x + 2 = 3

x = 3 - 2

x = 1

The solution of the system is represented by the pair (1 , 2).

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