Solving with Substitution - Practice

Front

What is substitution in solving systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

How do you solve for y in the equation y = 6x - 5?

Back

To solve for y, simply substitute the value of x into the equation.

Front

What is the first step in solving the system y = 6x - 5 and 6x - 7y = -1 using substitution?

Back

First, solve the first equation for y, which is already done: y = 6x - 5.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve the system using substitution: y = -3x + 9 and -8x + 5y = -1.

Back

(2, 3)

Front

What is the solution to the system 2x + 3y = 4 and y = 5x - 27?

Back

(5, -2)

Front

How do you check if your solution to a system of equations is correct?

Back

Substitute the solution back into both original equations to see if they hold true.

Front

What is the solution to the system x = 6 and y = 2x - 3?

Back

(6, 9)

Front

What is the solution to the system y = 3 - x and 3y + x = 5?

Back

(2, 1)