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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?

Respuesta :

Answer:

Jonathan's solution [tex](0.4,2.12)[/tex] is correct.

Step-by-step explanation:

Given system of equations are:

[tex]y = -2.7x+3.2\ \ \ \ \ \ \ y=1.3x +1.6[/tex]

Now

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

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

And their point of intersection is [tex](0.4,2.12)[/tex]

And this is Jonathan's solution.

We can see from graph that point of intersection is [tex](0.4,2.12)[/tex]

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