6. Algebra Review

Without using a graph, determine the number of solutions in the following systems of equations, then classify the system.

Use substitution to solve the following system of linear equations.

$4x+2y=7$

$x+5y=4$

Use the elimination method to solve the following system of linear equations.

$2x+y=1$

$3x-y=4$

Determine the number of solutions the system of equations has without graphing.

Use the elimination method to solve the following system of linear equations.

$10x-4y=5$

$5x-4y=1$

Use substitution to solve the following system of linear equations.

$4x+y=1$

$x-y=4$

Determine the number of solutions the system of equations has without graphing.

Use the graph to identify the solution to the system of equations or identify that the system has $0$ or infinitely many solutions. If there is a solution, check that the point satisfies both equations.