SOLUTION: Solve Linear Equation of f(x) = g(x) What is the value of x? Given: f(x) = -2x g(x) = 5x - 4

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve Linear Equation of f(x) = g(x) What is the value of x? Given: f(x) = -2x g(x) = 5x - 4       Log On


   



Question 596649: Solve Linear Equation of f(x) = g(x)
What is the value of x?
Given:
f(x) = -2x
g(x) = 5x - 4

Answer by racoon(5) About Me  (Show Source):
You can put this solution on YOUR website!
since, in the question there is stated that f(x) = g(x),
therefore, just equalise the two given equation:
f(x) = -2x
g(x) = 5x - 4

it will look like this;
-2x = 5x -4
group the same term on one side of the eq and numbers on the other side;
-2x -5x = -4
* remember== each time a number@unknown is moved across the equal sign, the mathematical sign(+/-) become mirrored!!
-7x = -4
x = -4/-7
since, negative divide by negative number produce positive number, erase the negative sign...
x = 4/7