Answer:
The 'x' and 'y' values representing the solution of the system containing the two linear functions are;
x = -14, and y = -54
Step-by-step explanation:
From the given data table, we have;
The slope of the linear function on the left, 'm', is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∴ m = (14 - (-22))/(3 - (-6)) = 4
Therefore, the equation in point and slope form we have;
y - 14 = 4·(x - 3)
y = 4·(x - 3) + 14
Similarly for the second linear function on the right, we have;
m = (-3 - (-30))/(3 - (-6)) = 3
Therefore, the equation in point and slope form we have;
y - (-3) = 3·(x - 3)
y = 3·(x - 3) - 3
Equating both 'y' values gives;
4·(x - 3) + 14 = 3·(x - 3) - 3
4·x + 2 = 3·x - 12
4·x - 3·x = x = -12 - 2 = -14
x = -14
y = 4·(x - 3) + 14 = 4 × (-14 - 3) + 14 = - 54
y = -54
Therefore, the solution of the system containing the two linear functions is x = -14, and y = -54
