Nikki and Jonathan both solve this system of equations: y=-2.7x+3.2 y = - 2. 7 x + 3. 2 y=1.3x+1.6 y = 1. 3 x + 1. 6 Jonathan's solution is (0.4,2.12) 0. 4, 2. 12. Nikki's solution is (2.25,0.5) 2. 25, 0. 5. They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?

Question

Mathematics

Yazmin Haney

7 August, 02:28

Nikki and Jonathan both solve this system of equations: y=-2.7x+3.2 y = - 2. 7 x + 3. 2 y=1.3x+1.6 y = 1. 3 x + 1. 6 Jonathan's solution is (0.4,2.12) 0. 4, 2. 12. Nikki's solution is (2.25,0.5) 2. 25, 0. 5. They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?

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Answers (1)

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Dante Atkins · Answer 1

We have two equations that were solved by Nikki and Jonathon:

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

Equating the above two:

⇒ 1.3x + 1.6 = - 2.7x + 3.2

⇒ 4x = 1.6

⇒ x = 0.4

Hence, substituting the value of x in one of the equations we get:

y = 1.3*0.4 + 1.6 = 2.12

So the solution is (0.4, 2.12)

Jonathon's solution was (0.4, 2.12) and Nikki's was (2.25, 0.5). Hence Jonathon gave the correct solution.