Determine whether the equation 34y+3x=23x−y
is true or false when x = 6 and y = 8.
What is the value of the left side of the equation?
Question 2
What is the value of the right side of the equation?
Question 3
The equation 34y+3x=23x−y
is
false
when x = 6 and y = 8.
To determine the value of the left side of the equation, we substitute the given values of x and y into the equation:
34(8) + 3(6) = 23(6) - 8
272 + 18 = 138 - 8
290 = 130
The value of the left side of the equation is 290.
To determine the value of the right side of the equation, we substitute the given values of x and y into the equation:
23(6) - 8 = 138 - 8
138 - 8 = 130
The value of the right side of the equation is 130.
Since the value of the left side of the equation (290) is not equal to the value of the right side of the equation (130), the equation is false when x = 6 and y = 8.