SYSTEM OF EQUATIONS BY ELIMINATION

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved simultaneously.

Front

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

Back

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

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

If two lines intersect at one point, how many solutions does the system have?

Back

One solution.

Front

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

Back

The lines represented by the equations are parallel and do not intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

Solve by elimination: 4x + 4y = 4 and 3x + 4y = 10.

Back

(-6, 7)

Front

Solve by elimination: 4x + 12y = -1 and -3x - 9y = 0.

Back

No solution.

Front

Solve using elimination: 6x - 2y = 8 and 3x + y = 4.

Back

(2, 0)

Front

Solve the system by elimination: 5x + 8y = -12 and 3x + 5y = -7.

Back

(-4, 1)