Q2,W6,A2 System of Equations Word Problems

Front

What is a system of equations?

Back

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

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

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

Front

How can you represent a word problem as a system of equations?

Back

Identify variables for the unknowns, translate the relationships into equations, and ensure the equations reflect the problem's constraints.

Front

In the equation x + y = 15, what do x and y represent in the context of a word problem about animals?

Back

x represents the number of horses and y represents the number of chickens.

Front

How do you determine the number of legs in a system of equations involving animals?

Back

Use the number of legs per animal type to create an equation that relates the total number of legs to the number of animals.

Front

What is the significance of coefficients in a system of equations?

Back

Coefficients represent the quantity of each variable in the context of the problem.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, making it easier to solve for the other.