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
