Lesson 13 (1 & 2) Solving Systems of Equations by Substitution

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 to solve a system of equations by substitution?

Back

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

Front

Solve for x and y: y = 2x + 1, y = 4x - 1

Back

(1, 3)

Front

Solve the following systems of equations using substitution: x = 6, y = 2x - 3

Back

(6, 9)

Front

Solve: y = 8x + 1, y = 6x + 3

Back

(1, 9)

Front

What is the substitution method?

Back

A method for solving systems of equations by expressing one variable in terms of the other.

Front

Solve the system of equations: y = 8, y = -4x + 4

Back

(-1, 8)

Front

What is an infinite solution in a system of equations?

Back

When the equations represent the same line, resulting in an unlimited number of solutions.

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

Solve for x and y: 2x + 3y = 6, x - y = 1

Back

(3, 0)