0. Review of College Algebra

Given the equations of two lines $y=2x+1$ and $y=-x+4$, determine whether the lines intersect. If they do, find the point of intersection.

Solve the Equation.

$3\left(2-5x\right)=4x+25$

Solve the equation.

$\frac92+\frac14\left(x+2\right)=\frac34x$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$5x+17=8x+12-3\left(x+4\right)$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$\frac{x}{4}+\frac16=\frac{x}{3}$

Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation. 

$-2\left(5-3x\right)+x=7x-10$