Question

Nikki and Jonathan both solve this system of equations:

y=−2.7x+3.2
y=1.3x+1.6

Jonathan's solution is (0.4,2.12). Nikki's solution is (2.25,0.5). They graph the equations to check their work.

Based on the graph, whose solution is more likely to be correct?

Answer 1

Jonathan's solution
`(0.4,2.12)` is correct.

Explanation:

Given system of equations are:

`y = -2.7x+3.2\ \ \ \ \ \ \ y=1.3x +1.6`

Now

The graph of the linear equation
`y= -2.7x+3.2` cuts the y-axis at the point
`(0,3.2)` and x-axis at
`(1.185,0)`

And the graph of the linear equation
`y= 1.3x+1.6` cuts the y-axis at the point
`(0,1.6)` and x-axis at
`(-1.231,0)`

And their point of intersection is
`(0.4,2.12)`

And this is Jonathan's solution.

We can see from graph that point of intersection is
`(0.4,2.12)`