Writing System of Equations

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

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

Back

It means that the two lines represented by the equations intersect at one point.

Front

Write a system of equations for the following problem: 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 type of lines do a system of equations with no solution represent?

Back

Parallel lines.

Front

How many solutions does a system of equations with intersecting lines have?

Back

One solution.

Front

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

Back

It means that the equations represent the same line.

Front

If two lines are parallel, how many solutions does the system have?

Back

No solution.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that value into the other equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.