Question

Nikki and Jonathan both solve this system of equations:

Answer 1

Answer:

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

Step-by-step 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 $(0.4,2.12)$