Question

a. Find a second equation for the system so it has infinitely many solutions. Simplify fractions and write in the form a/b

Answer 1

Answer:
`4y=-3x+16`

Explanation:

For there to be infinitely many solutions, the equations must represent the same graph.

The points
`(0,4)` and
`(4,1)` lie on the line. So, the slope is
`(4-1)/(0-4)=-(3)/(4)`. As the
`y`-intercept is
`(0,4)`, the equation is
`y=-(3)/(4)x+4`.

Multiplying both sides by
`4` yields
`4y=-3x+16`.