Solving Systems of Equations Easy

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?

Substitution method for solving systems of equations includes...

• two or more linear equations

• solving for one variable, then substituting the number into the other equation

• answers 1 and 2

• solving for only x, then using the number as the only solution for x and y

The elimination method for solving systems of equations includes...

• no solutions

• adding or subtracting equations to eliminate a variable in the system

• it's eliminated so you don't have to solve for that variable

• only infinite solutions

The solutions for systems of equations includes...

• infinite solutions

• graphing and substitution

• substitution and elimination

• graphing, substitution and elimination

Consistent is defined as...

• a system of equations that has many possible solutions

• a system of equations that has at least one solution

• a system of equations that has no solutions

• a system with an independent variable only

An independent system of equations is...

• consistent

• has exactly one solution

• no solution

• both 1 and 2

A system of equations that is dependent has...

• a consistent system

• infinite solutions

• two or more linear equations

• all of the above

Substitution method for solving a system of equations includes...

• When the coefficients of one variable are the same or opposites, or when it is not convenient to use graphing or substitution.

• When you want a visual display of the equations, or when you want to estimate a solution.

• When one equation is already solved for one of the variables, or when it is easy to solve for one of the variables.

• The substitution method involves none of these.

Solve the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3