Question

Solve the simultaneous equations
2x+3y20
2x+5=10

Answer 1

`x=(5)/(2) \\y=5`

( 5/2, 2 )

Explanation:

Solve by substitution method:

`2x+5=10\\\2x+3y=20`

Solve
`2x+5=10` for
`x`:

`2x+5=10`

`2x=10-5`

`2x=5`

`x=5/2`

Substitute
`5/2` for
`x` in
`2x+3y=20`:

`2x+3y=20`

`2((5)/(2) )+3y=20`

`3y+5=20`

`3y=20-5`

`3y=15`

`y=15/3`

`y=5`

∴
`x=(5)/(2)` and
`y=5`

hope this helps....