Question

How do you solve the system of equations `5x - 2y = 2.25` and `7x - 4y = 3`?

Answer 1

See below

`x=0.5" "y=0.125`

Explanation:

To solve `5x−2y=2.25` and `7x−4y=3`, multiply the first equation by `-2` and add them.

`-2*(5x−2y=2.25)=-10x+4y=-4.5`

`-10x+4y=-4.5`
`" " 7x−4y=3" "`then add

you will get `" "-3x=-1.5`
divide both sides by `-3`
`x=0.5`

substitute this into one of the original equations
`5(0.5)−2y=2.25`
`2.5-2y=2.25`
subtract `2.5` from both sides to get `-2y=-0.25`
divide both sides by `-2`
`y=0.125`