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: [tex]b=k+10,b=-k+8[/tex]
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 [tex]b=k+10[/tex] ......(1)
[tex]b=-k+8[/tex] ......(2)
Step 1 - Equation the value of b from both the equations,
[tex]k+10=-k+8[/tex]
Step 2 - Add like terms,
[tex]2k=-2[/tex]
Step 3 - Solve,
[tex]k=-1[/tex]
Step 4 - Substitute k in equation (1),
[tex]b=-1+10[/tex]
[tex]b=9[/tex]
Therefore, The value of k=-1 and b=9.
