Learn to solve a system of equations with no solution by substitution

The video tutorial demonstrates how to solve a system of equations using the substitution method. It explains the best scenarios for using substitution, such as when a variable is isolated or has a coefficient of 1. The tutorial walks through isolating a variable, substituting the expression into another equation, and solving the resulting equation. It concludes with a scenario where no solution exists, indicating parallel lines.

When is the substitution method most effective for solving systems of equations?

• When a variable is isolated or has a coefficient of 1

• When the system has no solution

• When both variables have coefficients greater than 1

• When the equations are in standard form

What is the first step in isolating a variable for substitution?

• Multiply both sides by zero

• Add or subtract terms to isolate the variable

• Divide by the coefficient of the variable

• Switch the variables in the equation

How do you express one variable in terms of another in a system of equations?

• By multiplying both variables by a constant

• By setting both variables equal to zero

• By isolating the variable and rewriting the equation

• By adding the variables together

What is the result of substituting one equation into another in this tutorial?

• An equation that simplifies to a contradiction

• A single equation with two variables

• A system with infinitely many solutions

• A solution with two intersecting lines

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

• The system has infinitely many solutions

• The lines overlap completely

• The lines intersect at one point

• The lines are parallel and never intersect