Systems of Equations Substitution & Elimination Method Flashcard

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

How do you determine which method to use for solving a system of equations?

Back

Consider the structure of the equations; use substitution if one equation is easily solvable for a variable, and elimination if the coefficients are conducive to cancellation.

Front

Solve the system by elimination: 7x - y = -10 and -7x + 5y = -6.

Back

(-2, -4)

Front

Solve the system: 2x - y = 2 and 2x + y = 6.

Back

(2, 2)

Front

Solve using substitution: 2y + x = -15 and x = 3y.

Back

(-9, -3)

Front

What is the best method for solving this system: x = -3y - 8 and x - 2y = -3?

Back

Substitution

Front

Solve by elimination: -6x + 5y = 1 and 6x + 4y = -10.

Back

(-1, -1)

Front

What is the first step in the elimination method?

Back

Align the equations and decide which variable to eliminate.