Question

Wayne is solving a system of linear equations. y = −34x + 5y = -34x + 5 x = −2x = -2 To solve this system, he graphed the line y = −34x + 5y = -34x + 5. When Wayne graphs the line x = −2x = -2, at which point will he find the solution of this system of linear equations?

Answer 1

Wayne is solving the linear system of equations using the graphical method, but it can also be solved analytically.
 We will solve the system of equations analytically to find in which point Wayne will find the solution graphically.
 Resolving we have:
 y = -34x + 5 (Eq1)
 x = -2 (Eq2)
 Substituting (Eq2) in (Eq1) we have
 y = -34 * (- 2) + 5
 y = 73
 Therefore the point will be
 (x, y) = (- 2,73)
 answer
 the point will have found the solution of this system of linear equations is (-2,73)