System of Equations Using Situations

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

• solution of a system

• elimination method

• system of equations

• table

How many solutions does this system have?

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

The ordered pair that satisfies (makes them true) all equations in the system is a called a ________________.

• system of equations

• function

• graph

• solution of a system

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

Explain the concept of simultaneous equations and how it relates to real-life situations.

• Simultaneous equations involve solving for multiple unknowns at different times, which can be applied to real-life situations such as driving, sleeping, and shopping.

• Simultaneous equations involve solving for one unknown at a time, which can be applied to real-life situations such as cooking, gardening, and reading.

• Simultaneous equations involve solving for one unknown at a time, which can be applied to real-life situations such as painting, swimming, and singing.

• Simultaneous equations involve solving for multiple unknowns at the same time, which can be applied to real-life situations such as budgeting, inventory management, and production planning.

Answer explanation

Simultaneous equations involve solving for multiple unknowns at the same time, which can be applied to real-life situations such as budgeting, inventory management, and production planning.

What is the first step in using the elimination method to solve simultaneous equations?

• Subtract one equation from the other

• Add the two equations together

• Divide both equations by a common factor

• Make the coefficients of one of the variables the same in both equations

Answer explanation

The first step in using the elimination method is to make the coefficients of one of the variables the same in both equations.

Explain the process of solving for variables in simultaneous equations using the elimination method.

• Divide the equations to eliminate one variable, then solve for the remaining variable.

• Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

• Ignore one of the equations and solve for the remaining variable in the other equation.

• Multiply the equations to eliminate one variable, then solve for the remaining variable.

Answer explanation

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.