Final answer:
To solve the system of linear equations 0.12x = 0.09y + 492.99, we need to rearrange the equation in the form y = mx + b. The resulting system of linear equations is 0.12x = 0.09y + 492.99 and y = 1.33x - 5477.67.
Step-by-step explanation:
To solve the system of linear equations 0.12x = 0.09y + 492.99, we can start by rearranging the equation to the form y = mx + b, where m is the slope and b is the y-intercept. This can be achieved by isolating y on one side of the equation:
0.12x - 0.09y = 492.99
Now, we can rewrite the equation as:
-0.09y = -0.12x + 492.99
Multiplying both sides by -1 to make the coefficient of y positive:
0.09y = 0.12x - 492.99
Divide both sides by 0.09:
y = (0.12/0.09)x - (492.99/0.09)
Simplifying:
y = 1.33x - 5477.67
Therefore, the system of linear equations is:
0.12x = 0.09y + 492.99
y = 1.33x - 5477.67