Solving Linear Systems 3 Methods (B)

Front

This system has _____ solutions

Back

0

Front

When you graph the exact same equation twice, you will have _____ solutions.

Back

infinite solutions.

Front

Solve for x and y: 3x + 2y = 16; 7x + y = 19

Back

(2,5)

Front

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

Back

No solution

Front

Solve the system of equations: y = -2x + 18; y = 8

Back

(5, 8)

Front

What is a linear system?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if a linear system has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a linear system has infinite solutions?

Back

The lines representing the equations are the same line, meaning they overlap completely.

Front

What is the elimination method?

Back

A method for solving linear systems by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method for solving linear systems by solving one equation for one variable and substituting that value into the other equation.