We're doing multi-step equations, and I need help on how to check my answers?
I knew how to do it on two-step equations, but now it's kind of confusing?
for example, there's a problem, 6a-1 over 7 = 1
My answer was 4/3.
We're supposed to insert our answer in place of the variable in order to show we checked it, but it doesn't seem right?
6*(4/3)-1 = 24/3-1=7
so 7/7 does =1, it checks
To check your solution in a multi-step equation, you need to substitute the value you found back into the original equation and see if both sides are equal.
Let's use your example equation and your answer of 4/3:
Original equation: (6a - 1) / 7 = 1
Substitute 4/3 for a:
(6 * (4/3) - 1) / 7 = 1
Now, simplify both sides of the equation:
(24/3 - 1) / 7 = 1
(8 - 1) / 7 = 1
7/7 = 1
Since both sides of the equation are equal when you substitute 4/3 for a, your solution of a = 4/3 is correct.
Remember that when you substitute the value back into the equation, you need to perform all the necessary operations (multiplication, addition, subtraction, etc.) to simplify both sides of the equation and check if they are still equal.