5.8 Translating System of Equations Word Problems

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 equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

How do you solve for y in the equation 2x + 2y = 6?

Back

y = -x + 3.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection points of the lines represented by the equations.

Front

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

Back

It means that the equations represent the same line, and every point on that line is a 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, making it easier to solve for the other.

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 expression into the other equation.

Front

What is the solution to the system of equations 3H + 2D = 315 and 2H + 4D = 450?

Back

(1, 3) is the solution.

Front

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

Back

The first step is to graph each equation on the same coordinate plane.

Front

What does it mean if two lines intersect at a single point?

Back

It means that the system of equations has one unique solution.