Substitution

Front

What is substitution in solving systems of equations?

Back

Substitution is a method used to solve systems of equations by replacing one variable with an expression derived from another equation.

Front

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

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

Front

Given the equations y = 4x - 10 and y = 3x - 5, what is the first step to solve by substitution?

Back

4x - 10 = 3x - 5.

Front

Given the equations y = 8x + 1 and y = 6x + 3, what is the first step to solve by substitution?

Back

8x + 1 = 6x + 3.

Front

Given the equations x = -3y - 17 and 2x + 3y = -7, what is the first step to solve by substitution?

Back

2(-3y - 17) + 3y = -7.

Front

Given the equations y = 4x + 3 and 2x - 3y = 21, what is the first step to solve by substitution?

Back

2x - 3(4x + 3) = 21.

Front

Given the equations y = -1x - 5 and 4x - 8y = 4, what is the first step to solve by substitution?

Back

4x - 8(-1x - 5) = 4.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of substituting one equation into another?

Back

The purpose is to reduce the number of variables in the equations, making it easier to solve for the remaining variable.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.