Answer: To check if a given value is a root of the equation 8x-4 = 2, we can substitute the value into the equation and see if it makes the equation true.
When we substitute 3 for x in the equation 8x-4=2, we get 8(3)-4=2, which simplifies to 24-4=2, which is not true. So, 3 is not a root of the equation.
To check if a given value is a root of the equation 4y + 5 = y-7, we can substitute the value into the equation and see if it makes the equation true.
When we substitute -4 for y in the equation 4y + 5 = y-7, we get 4(-4) + 5 = -4-7, which simplifies to -16+5=-11=-4-7, which is true. So, -4 is a root of the equation.
Explanation: