4x-2=7x-6

Answer: x=-1

2r-6=7r+24

Answer: r=6?

Printable View

- Apr 6th 2010, 10:43 PMhoiguy1208Did I get the right answers?
4x-2=7x-6

Answer: x=-1

2r-6=7r+24

Answer: r=6? - Apr 6th 2010, 10:53 PMharish21
Hi Hoiguy. Nice to see you back.

For (1), you are way too off the solution.

$\displaystyle 4x-2 = 7x-6$

add 6 on both sides

$\displaystyle 4x-2+6 = 7x-6+6$

this gives:

$\displaystyle 4x + 4 = 7x$

subtract 4x from both sides:

$\displaystyle 4x+4-4x = 7x-4x$

this gives $\displaystyle 4 = 3x$

therefore $\displaystyle x = \frac{4}{3}$

For (2), you were almost there.

$\displaystyle 2r-6=7r+24$

subtract 24 form both sides:

$\displaystyle 2r-6-24 = 7r+24-24$

this gives you:

$\displaystyle 2r-30 = 7r$

subtract 2r from both sides:

$\displaystyle 2r-30-2r = 7r-2r$

this gives you:

$\displaystyle 5r = -30$

So:

$\displaystyle r = -6$

Please show a little bit of your work so that one can figure out where exactly you are unclear about the question!