Solving Systems Using Substitution

Front

Solve the following system of equations using substitution: 2y + x = -15, x = 3y

Back

(-9, -3)

Front

How many solutions does the graph have if the lines overlap each other?

Back

Infinite solutions

Front

What do you call 2 or more linear equations with the same set of variables?

Back

System of Equations

Front

How many solutions does the graph have if the lines are parallel?

Back

No solution

Front

If the solution is infinitely many, the lines will ________?

Back

overlap each other

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one equation for one variable.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

If two equations represent the same line, how many solutions does the system have?

Back

Infinite solutions

Front

What is substitution in the context of solving systems of equations?

Back

Replacing one variable with an expression from another equation.