Question

What is the answer to the set of pairs: 6x-y=4 and 3x+y=5

Answer 1

Step-by-step explanation:

Answer 2

`x=1`

`y=2`

Explanation:

Given Equation :

`6x-y=4 \\` Equation:1

`3x+y=5` Equation:2

Using Elimination method add Equation:1 and 2:

`6x-y+(3x+y)=4+5\\`

`6x-y+3x+y=9\\\\6x+3x=9`

`9x=9`

Dividing '
`9`' both the sides:

`x=1`

Putting the value of 'x' in equation:2

`3x+y=5`

`3(1)+y=5`

`3+y=5`

Subtracting '3' both sides:

`y=5-3`

`y=2`

The solution of the equation is:

`x=1`

`y=2`