Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,
![6Z=3(Z+8)](https://tex.z-dn.net/?f=6Z%3D3%28Z%2B8%29)
![6Z-3Z=24](https://tex.z-dn.net/?f=6Z-3Z%3D24)
![3Z=24](https://tex.z-dn.net/?f=3Z%3D24)
Divide both sides by 3.
![Z=8](https://tex.z-dn.net/?f=Z%3D8)
Therefore, the required equation is
is age of zach is 8 years.
Answer:
Step-by-step explanation:
Using substitution method.
y = 3x - 8 -------(i)
y = 4 - x -------- (ii)
Substitute y = 3x-8 in equation (ii)
3x - 8= 4 - x {Add x to both sides}
3x - 8 + x = 4 - x +x
4x - 8 = 4 {Add 8 to both sides}
4x = 4 + 8
4x = 12 {Divide both sides by 4}
x = 12/4
x = 3
Substitute x = 3 in Equation (i)
y = 3*3 - 8
y = 9 - 8
y = 1
The answer is 4^2=4 x 4= 16