First, distribute to simplify the equation.
-3*w = -3w
-3*4 = -12
-3w + (-12) = -18
Now, isolate the variable.
-3w + -12 = -18
+12 +12
- 18 + 12 --> -6
-3w = -6
-3w/-3 = -6/-3 >>>>> w = 2
Answer: w = 2
Answer:
Now, the father is 60, and the son is 24.
Step-by-step explanation:
Now:
Father's age = f
Son's age = s
4 years ago:
Father's age = f - 4
Son's age = s - 4
In 12 years:
Father's age = f + 12
Son's age = s + 12
Now:
f = 3(s - 4)
In 12 years:
f + 12 = 2(s + 12)
We have 2 equations that we can solve in a system of equations.
f = 3(s - 4)
f + 12 = 2(s + 12)
f = 3s - 12
f + 12 = 2s + 24
f = 3s - 12
f = 2s + 12
Since above both equations are in terms of f, set the right sides equal and solve for s.
3s - 12 = 2s + 12
s = 24
f = 3(s - 4)
f = 3(24 - 4)
f = 3(20)
f = 60
Now, the father is 60, and the son is 24.
On the left side, distribute the 2 to x and -3 so the left side should look like 5x+2x-6.
on the right, distribute the -2 to x and -1 so the right side should look like -2x+2.
combine like terms on the left to get 7x-6=-2x+2
add -2x from the right side to the left side to make the equation 9x-6=2 now it's a two step equation.
add 6 to 2 to get 9x=8. divide by 9 and x=8/9.
Answer:
65
Step-by-step explanation:
14 + 51 = 65
He would have to work 13 hours