Solving a system using substitution when a variable is isolated

The video tutorial explains the substitution method in solving equations, emphasizing the importance of isolating variables. It demonstrates the application of the distributive property to simplify equations and identifies cases where equations have no solution, indicating parallel lines.

What is the first step in solving equations using substitution?

• Multiply both sides by zero

• Isolate a variable

• Divide by the coefficient of x

• Add all terms together

What property is applied to simplify the equation after substitution?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

What does it mean when an equation simplifies to a statement like '4 = 7'?

• The solution is x = 4

• The solution is y = 7

• There is no solution

• The solution is infinite

What conclusion can be drawn if two equations have no solution?

• They intersect at one point

• They are the same line

• They are parallel lines

• They intersect at multiple points

What does it mean for two lines to be parallel in terms of solutions?

• They have infinite solutions

• They have one solution

• They have no solution

• They intersect at one point