Question

given that x=a,y=b is the solution to the system of equations 2x+y=4, x-y=5 then what is the value of b to the power of a

Answer 1

The answer is -8

Explanation:

`2x+y=4\\x-y=5\\\\`

after combining these into a singular equation, we get:

`3x=9\\x=3`

substitute the value of
`x` into one of the equations:

`x-y=5\\3-y=5\\y=-2`

now that we found the
`x` and
`y` value, we can substitute it into the term
`b^a` since we know that
`x=a` and
`y=b`.

`a^b\\a=x, b=y\\x=3, a=3\\y=-2, b=-2\\-2^3\\-8`