Solve the equation, give your answer as a fraction in its lowest terms:
x-2= 4x+7/6 (the whole part 4x+7 is over the 6)
I'm getting -6 !!
write it this way
x-2= (4x+7)/6
multiply both sides by 6
6x-12 = 4x+7
2x = 19
x = 19/2 or 9.5
Thanks for that. hopefully I'll get a better grasp of equations soon!!
your answer is x=19/2 becouse 6 is only your LCD number. Then to solve this equation you put 6(x-2)=6(4x+7)/6. the part of 6(4x+7) is over 6. then on your lelf handside you divide 6 by 6. Then you gona lelf with 6(x-2)=(4x+7). When you multiply on your right handside you will have 6x-12=4x+7 i thnk is easy now to find your answer.
Thanks. The final answer is 8 (if I'm right) but that means its not a fraction. so do I have to do something else or am I that bad at maths that I'm wrong again!!
Marian, the final answer is not 8, it is 19/2 or 9.5
Proof:
let x=8,
LS = 8-2 = 6
RS = (4(8)+7)/6 = 39/6
so LS ≠ RS if x=8
if x= 9.5
LS = 9.5 -2 = 7.5
RS = (4(9.5)+7)/6 = 45/6 = 7.5
LS = RS if x=9.5
Thanks that helps me a lot!
To solve the equation x - 2 = 4x + 7/6, we need to isolate the variable x on one side of the equation.
First, let's get rid of the fraction by multiplying every term of the equation by 6. This will eliminate the denominator:
6(x - 2) = 6(4x + 7/6)
Expanding both sides of the equation gives us:
6x - 12 = 24x + 7
Next, let's gather all the x terms on one side of the equation and the constant terms on the other side. We can do this by subtracting 6x from both sides and adding 12 to both sides:
6x - 6x - 12 = 24x - 6x + 7 + 12
Simplifying the equation further:
-12 = 18x + 19
Now, let's isolate the x term by subtracting 19 from both sides:
-12 - 19 = 18x + 19 - 19
Performing the subtraction:
-31 = 18x
Finally, we solve for x by dividing both sides of the equation by 18:
-31/18 = 18x/18
Simplifying the fraction:
-31/18 = x
So, the solution to the equation x - 2 = 4x + 7/6 is x = -31/18.