Systems - Substitution Warm Up

Front

A system has ____________ when two equations are exactly the same and overlap each other.

Back

Infinitely Many Solutions.

Front

Which is the correct substitution for the system of equations? -3x -16 = x - 2y, -3 (x - 2y) -16 = 18, (-3x - 16) - 2y = 18, x - 2(-3x - 16) = 18

Back

x - 2(-3x - 16) = 18.

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution.

Front

What is the solution to the system? (0, 3), (1, -1), (-3, 1), (1, 3)

Back

(1, 3).

Front

Which is the correct substitution for this system? 2(3x -3) = 19, 2x + 5y (3x ) = 19, 2x + 5(3x-3) = 19, 2(3x ) - 3 + 5y = 19

Back

2x + 5(3x-3) = 19.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

Define substitution in the context of solving systems of equations.

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

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

Back

Solve one of the equations for one variable.

Front

What does it indicate if two equations in a system have the same slope and the same y-intercept?

Back

The system has infinitely many solutions.