Question

Solve the equation. Check for extraneous solutions.

A. x = 3/2 or x = 5/6

B. x = 3/2 or x = 5/8

C. x = 5/8

D. x = 3/2

Answer 1

Hint: Check for extraneous solutions first.

Answer 2

is the answer A?

Answer 3

Did you check both \(\large\frac{3}{2}\) `and` \(\frac{5}{8}\)?

Answer 4

im sorry , im confused im not quite sure how to work out the answer choices

Answer 5

Do you know how to check?

Suppose you solved x + 5 = 7, and got x = 3. How would you check that?

Answer 6

no not really, and you would subtract 5 from 7 and get 2

Answer 7

You check it by substituting the 3 into the equation to see if both sides equal:

x + 5 = 7
3 + 5 = 7
8 = 7 False

Answer 8

You think it x = 2 is correct so let's check that:

x + 5 = 7
2 + 5 = 7
7 = 7 True

Answer 9

That's all you do when checking values

Answer 10

so just add up whats on the left of my problem and see if it equals?

Answer 11

you have to substitute the number you want to check first everywhere you see x, then simplify both sides:

For example

x + 5 = 2x + 4

If I think x = 3, then I will substitute that in everywhere I see x, then evaluate:

x + 5 = 2x + 4
3 + 5 = 2(3) + 4
8 = 6 + 4
8 = 10 False

Answer 12

Do the same with your math problem.

Answer 13

okay i understand , thanks :)