Question

Determine whether the point (1,5) is a solution to the system of equations g(x)=3x+2 f(x)=|x-1|+1

Answer 1

Point $(1,5)$ is a solution of the equation $g(x)=3x+2$ and point $(1,5)$ is not a solution of equation $f(x)=|x-1|+1$

Why point $(1,5)$ is solution of the equation $g(x)=3x+2$ ?

If point $(1,5)$ is solution of the equation then they must satisfy the equation.

So we need to check one by one

$(x,y)=(1,5)$

equation $g(x)=3x+2$

We can write as

$y=3x+2\\5=3*1+2\\5=5$

So  point $(1,5)$ is solution of this equation.

Equation $f(x)=|x-1|+1$

We can write as

$y=|x-1|+1\\5=|1-1|+1\\5=0+1\\5\neq 1$

So point $(1,5)$ is not solution of equation $f(x)=|x-1|+1$

Learn more about solution of equation here :

brainly.com/question/28048877

#SPJ4