Question

How many solutions does the system of equations `7x + 4y = 10` and `6x + 18y = 1` have?

Answer 1

`x=88/51,y=-53/102`

Explanation:

From the first equation we get

`y=5/2-7/4x` (solving for `y`)

so we get

`6x+18(5/2-7/4x)=1`
`6x-45-63/2x=1`
so
`12x+90-63x=2`
solving for `x`:
`x=88/51`

and plugging this result in the second equation:

`6*88/51+18y=1`
so
`y=-53/102`