Final answer:
To solve the equation 22 + 1/5yi = 2x - 2 and find the values of x and y, subtract 22 from both sides, multiply both sides by 5 to eliminate the fraction, and simplify to the form y = mx + b.
Step-by-step explanation:
To solve the equation 22 + 1/5yi = 2x - 2 and find the values of x and y, you need to isolate the variables on one side of the equation. Start by subtracting 22 from both sides:
1/5yi = 2x - 24
Next, multiply both sides by 5 to eliminate the fraction:
yi = 10x - 120
Now, we have an equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 10 and the y-intercept is -120. Therefore, the values of x and y that satisfy the equation are any pair of numbers that make the equation true. For example, if x = 5, then y = 10(5) - 120 = -70. So one possible solution is x = 5 and y = -70.