Answer:
y = 4x + 12 will be the other equation.
Step-by-step explanation:
Data given in the tables show a linear relation (has a common data).
To get the linear relation, we will choose the two points from table (1) .
Let the points are (1, 16) and (2, 20).
Slope of the line 'm' = [tex]\frac{\triangle{y}}{\triangle{x}}[/tex]
m = [tex]\frac{20-16}{2-1}[/tex]
m = [tex]\frac{4}{1}[/tex]
m = 4
Equation of the line passing through (1, 16) having slope = 4
y - 16 = 4(x - 1)
y = 4(x - 1) + 16
y = 4x - 4 + 16
y = 4x + 12
Now we take second set of data,
We choose two points (1, 6) and (2, 12).
Slope 'm' = [tex]\frac{\triangle{y}}{\triangle{x}}[/tex]
m = [tex]\frac{12-6}{2-1}[/tex]
m = 6
Equation of the line passing through (1, 6) having slope = 6
y - 6 = 6(x - 1)
y = 6x - 6 + 6
y = 6x
Therefore, other equation of the system of equations will be,
y = 4x + 12
