System of Equations 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 substitution mean in the context of solving equations?

Back

Substitution is the process of replacing a variable in one equation with an equivalent expression from another equation.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the first variable.

Front

Solve: y = 7x + 9; 2y + 2x = -18

Back

(-2, -5)

Front

Solve: y = -1x - 5; 4x - 8y = 4

Back

(-3, -2)

Front

What is the solution to this system? y = 2x + 1; y = 4x - 1

Back

(1, 3)

Front

Solve: y = 4x - 10; y = 3x - 5

Back

(5, 10)

Front

Solve the system by substitution: y = x + 5; 4x + y = 20

Back

(3, 8)

Front

What is the first step in solving a system of equations by substitution?

Back

Identify one equation and solve for one variable in terms of the other variable.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the point(s) where the lines of the equations intersect.