Question

An unknown number b is 10 more than an unknown number k. the number b is also k less than 8. the equations to find k and b are shown below: b = k + 10 b = −k + 8 which is a correct step to find k and b? (1 point)

Answer 1

Just add the two equations together.
2b = 18
b = 18/2
b = 9

9 = k + 10
9 - 10 = k
k = - 1

Answer 2

Answer:

The value of k=-1 and b=9.

Step-by-step explanation:

Given : An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below: $b=k+10,b=-k+8$

To find : Which is a correct step to find k and b?

Solution :

The correct steps to find the value of k and b of the equations are

Let $b=k+10$ ......(1)

$b=-k+8$ ......(2)

Step 1 - Equation the value of b from both the equations,

$k+10=-k+8$

Step 2 - Add like terms,

$2k=-2$

Step 3 - Solve,

$k=-1$

Step 4 - Substitute k in equation (1),

$b=-1+10$

$b=9$

Therefore, The value of k=-1 and b=9.