Question

What is the apparent solution to the system of equations?

y=12x+2y=2x−1

y=12x+2y=2x−1

Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the Point tool.

Answer 1

(x, y) = (-0.3, -1.6)

Explanation:

The graph below shows these equations graphed. Their point of intersection is (-0.3, -1.6).

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Analytical solution

You can equate the expressions for y to get ...

... 12x +2 = 2x -1

... 10x = -3 . . . . subtract (2x+2)

... x = -0.3 . . . . . divide by 10

... y = 2(-.3)-1 = -1.6 . . . . use the 2nd equation to find y.