Solve the equation -6x + 11 = -4x + 6. You may enter your answer either as a fra

Question

Solve the equation -6x + 11 = -4x + 6. You may enter your answer either as a fraction (e.g. 3/5) or as a decimal (e.g..6). If you enter a decimal, it must be within.0005 of the exact value. x = Solve the equation -x - 7 = 5x - 7. You may enter your answer either as a fraction (e.g. 3/5) or as a decimal (e.g..6). If you enter a decimal, it must be within.0005 of the exact value. x = Given the equation and solution, find the missing coefficient. -x - 11 = x - 7 Solution: x = 8 Given the equation and solution, find the missing coefficient. 8x - 11 = -x + Solution: x = 1 Given the equation and solution, find the missing coefficient. -12x + 4 = 7x + Solution: x = 11

Explanation / Answer

1) given -6x+11=-4x+6

11-6=-4x+6x

2x =5

x=5/2

2) given -x-7=5x-7

6x=0

x =0

3) given -x-11=kx-7 ( k is cofficient of x)

given x=8, then

-8-11=k(8)-7

-19=8k-7

8k = -12

k = -3/2

4) given 8x-11=-x + k

and x=1, then

8(1)-11=-1+k

-3+1=k

k=-2

5) given -12x+4=7x+k

and x=11, then

-12(11)+4=7(11)+k

-132+4=77+k

-128-77=k

k = -205

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