Question

Graph the system of equations on graph paper to answer the question.

{y=14x+3
{y=2x+10

What is the solution for this system of equations?

Answer 1

(x, y) = (7/12, 11 1/6)

Explanation:

A graph will show you the solution is near (x, y) ≈ (0.6, 11.2). For an exact answer, an algebraic solution is indicated.

Subtracting the second equation from the first gives ...

0 = 12x -7

7/12 = x

Substituting for x in the second equation gives ...

y = 2(7/12) +10 = 7/6 +10

y = 11 1/6