Question

What is the solution for y=0.5x+3.5 and y=-2/3x+1/3 shown on the graph

Answer 1

In this item, we are given with a system of linear equation as written below.
   y = 0.5x + 3.5
   y = -2x/3 + 1/3

To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
 0.5x + 3.5 = -2x/3 + 1/3

Multiply the equation by 6.
 3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
 (3x + 4x) = 2 - 21
      7x = -19

Divide the equation by 7,
        x = -19/7

The value of y,
   y = (0.5)(-19/7) + 3.5 = 15/7

ANSWER:
  x = -19/7
  y = 15/7