Solve Systems Using Substitution Flashcard

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation by itself.

Front

Solve for y: 2x + y = 11

Back

y = 11 - 2x

Front

If y = 3x - 4, what is y when x = 3?

Back

y = 3(3) - 4 = 5

Front

What is the first step in using substitution to solve the system: 4x + y = 23, y - x = 3?

Back

First, solve the second equation for y: y = x + 3.

Front

Solve the system using substitution: 3x - 2y = 13, y = x - 5.

Back

x = 3, y = -2.

Front

What does it mean for a system of equations to have a unique solution?

Back

A unique solution means that the lines represented by the equations intersect at exactly one point.

Front

How do you check your solution for a system of equations?

Back

Substitute the values of the variables back into the original equations to see if they hold true.

Front

Solve for x: 3x - y = 7, y = 2x - 4.

Back

x = 3, y = 2.

Front

What is the solution to the system: 2x + 3y = 16, y + 3 = x?

Back

x = 5, y = 2.