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
<em>ANSWER:</em> <em> x = -19/7</em> <em> y = 15/7</em>
