Help please, im unsure

The value of AM = 43

Step-by-step explanation:

As point M is the midpoint of AB, so

Given

AB = 8x - 50

AM = 2x + 9

so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM

AB = AM + BM

8x - 50 = 2x + 9 + BM

8x - 2x - 50 - 9 = BM

6x - 50 = BM

Thus,

BM = 6x - 59

As

AM = BM

so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM

2x + 9 = 6x - 59

switch sides

6x - 59 = 2x + 9

subtract 2x from both sides

6x - 2x - 59 = 2x + 9 - 2x

4x - 59 = 9

add 59 to both sides

4x - 59 + 59 = 9 + 59

4x = 68

divide both sides by 4

4x/4 = 68/4

x = 17

Thus, the value of x = 17

Therefore, the value of AM will be:

AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43

Hence, the value of AM = 43

Verification:

AM = BM

2x + 9 = 6x - 59

2(17) + 9 = 6(17) - 59

34 + 9 = 102 - 59

43 = 43

and

AB = 8x - 50 = 8(17) - 50 = 86

the answer is c)8

step-by-step explanaction:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.