Question

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ? Enter your answer in the box. x =

Answer 1

`x=1`

Explanation:

we have

`f(x)=2x+4` -----> equation A

`g(x)=10-4x` ----> equation B

we know that

The solution of the system of equations is the point
`(1,6)`

so

The solution of the equation
`2x+4=10-4x` is equal to the x-coordinate of the solution of the system of equations

therefore

The solution is
`x=1`