System of Equations Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations by elimination?

Back

Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Front

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17

Back

No solution

Front

Solve by elimination: 5x + 6y = -10 and 3x - 2y = -6

Back

(-2, 0)

Front

What is the solution to the system: 6x + 8y = 48 and 3x + 4y = 24?

Back

(6, 8)

Front

Write a system of equations for: The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75.

Back

5q + 2z = 1.32 and 3q + 1z = 0.75

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines representing each equation on a coordinate plane.

Front

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

Back

It means the lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.