How? Explaining number 22: Well, let’s disprove each one of them. A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)
B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right
C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step. 2x+2=6 2x=6 x=3 Since we want x to be six, this wouldn’t be the answer either.
D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER
Explaining 23: For this, I also used process of elimination.
Remember that x is equal to 2.5
A.) x+3=5.5
2.5+3=5.5 5.5=5.5 That works.
B.) 2x=5 2(2.5)=5 5=5 That works.
C.) 2.5/2=1.25 1.25=1.25 That works
D.) x-10=7.5 2.5-10=7.5 -7.5=7.5 THAT DOESNT WORK THERE IS OUR ANSWER
For this case we have the following expression: (x-1) / (3) = k Substituting the value of k = 3 we have: (x-1) / (3) = 3 From here, we must clear the value of x. We have then: x-1 = 3 * 3 x-1 = 9 x = 9 + 1 x = 10 Answer: The value of x is given by: x = 10
