Question

Question #9fb91

Answer 1

`x=10`
`y=2`

Explanation:

the given system of equations

`x=3y+4" "` first equation
`2x-3y=14" "` second equation

Method of Substitution
Substitute the first equation into the second equation so that

`2x-3y=14" "` second equation

becomes

`2(3y+4)-3y=14" "` second equation

simplify

`6y+8-3y=14`

`6y-3y=14-8`

`3y=6`

`(3y)/3=6/3`

`y=2`
~~~~~~~~~~~~~~~~~~~~~~~~

Solve now for `x` using the value of `y=2`

`x=3y+4" "` first equation
`x=3(2)+4" "` first equation

`x=6+4`

`x=10`

~~~~~~~~~~~~~~~~~~~

checking:
`x=3y+4" "` first equation
`10=3(2)+4`
`10=6+4`
`10=10`

checking:
`2x-3y=14" "` second equation
`2(10)-3(2)=14" "` second equation

`20-6=14`
`14=14`

`x=10` and `y=2` are correct

God bless....I hope the explanation is useful.