Question

What is the value of x and y

Answer 1

x=3, y=3

Explanation:

If we plug in 3 for each variable, their sum is 6, and the first equation will be true.

Answer 2

`x=y=3`

Explanation:

Given Equation:

`2x+3y=15` Equation:1

`x+y=6`

or
`x=6-y` Equation:2

Using Substitution method, put the value of 'x' in equation:1

`2x+3y=15`

`2(6-y)+3y=15\\\\2(6)-2(y)+3y=15\\\\12-2y+3y=15\\\\12+y=15\\\\`

Subtracting '12' both sides:

`12+y-12=15-12\\\\y=15-12\\\\y=3\\\\`

Putting value of 'y' in equation:2

`x=6-y`

`x=6-3\\\\x=3`

So, the values are:
`x=y=3`