Question

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?

Answer 1

Explanation:

Answer 2

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.