Answer:
1. Yes
2. No
3. Yes
Step-by-step explanation:
We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.
To solve we need to substitute the x in every equation for -4. Start :
1.
3(2(-4) - 4) = -36
3(-8 - 4) = -36
-24 - 12 = -36
Therefore -4 is a solution.
2.
5(-4) - 6(-4) - (-4) = 18
-20 + 24 + 4 = 18
4 + 4 = 18
8 ≠ 18
Therefore -4 is not a solution.
3.
5 - 2(3(-4) - 1) = 31
5 - 2(-12 - 1) = 31
5 - 2(-13) = 31
5 + 26 = 31
Therefore -4 is a solution.
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4
Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1
Simplify the equation
2x + x = 4 - 1
3x = 3
Move 3 on the left side to the right side, it becomes denominator
3x = 3
x = 3/3
x = 1
The solution to the equation is
x = 1