Systems of Equations Review Vocab

When one of the variables has coefficients that are additive inverses, ________________________________ is the easiest method to use.

• elimination with multiplication

• elimination with subtraction

• elimination with addition

• substitution

When one of the variables has the same coefficients, __________________________ is the easiest method to use.

• elimination with addition

• substitution

• elimination with subtraction

• elimination with multiplication

When the coefficients of a variable share a common multiple, _____________________ is the easiest method to use.

• elimination with addition

• substitution

• elimination with subtraction

• elimination with multiplication

a system of equations in which the equations intersect at one point.

• One solution

• solution

• No solution

• Infinitely many solutions

Find the solution(s) to the system.

• (0,-3)(-1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)

• (3, 0)

• (1, -4)

• (3, 0) and (1, -4)

• No solution! It is an Inconsistent System

Terms that contain the same variables raised to the same power.

• Distributive Property

• like terms

• combining like terms

The Solution to a 1 solution system of equation.

• intersection point

• systems of equations

• intersect

• Solution

• Infinitely many solutions

Any value for the variable would make the systems of equations true.

• One solution

• solution

• No solution

• Infinitely many solutions