Solve.
x/9-1/7=26/63
STEP 1: The LCM is _________ To clear denominators, multiply each side of the equation by the LCM.
_______/1 (x/9-1/7)=__________/1 multiply 26/63.
STEP 2: Use the Distributive Property.
_____/1 multiply x/9 - _________/1 multiply 1/7 = ______________.
STEP 3: Multiply and simplify each side of the equation using the Properties of Fractions.
________/1 multiply x/9 - _______/1 multiply 1/7= _______________.
STEP 4: Solve for x. _____________
Please help me fill in the blanks. I know that the answer is 5 but no matter what i put in the blanks the system is rejecting my answers. Help
On paper, this is how I would expect students to do this
x/9 = 1/7 = 26/63
multiply each side by 63, the LCD
63(x/9) - 63(1/7) = 63(26/63)
7x - 9 = 26
7x = 35
x = 5
To solve the equation x/9 - 1/7 = 26/63, let's go step by step:
STEP 1: The LCM is the Least Common Multiple of the denominators 9 and 7, which is 63. So, we need to multiply each side of the equation by 63.
63/1 (x/9 - 1/7) = 63/1 * 26/63
STEP 2: Use the Distributive Property.
63/1 * x/9 - 63/1 * 1/7 = 26
STEP 3: Multiply and simplify each side of the equation using the Properties of Fractions.
(63x / 9) - (63 / 7) = 26
7x - 9 = 26
Now, we have a simpler equation to solve:
STEP 4: Solve for x.
7x = 26 + 9
7x = 35
x = 35/7
x = 5
Therefore, the solution to the equation is x = 5.