Solving Systems of Equations by substitution (easy)

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

If y = 2x + 3, what is y when x = 1?

Back

y = 5.

Front

What is the solution to the system of equations: 2x + y = 10 and y = 4?

Back

(3, 4).

Front

What does it mean if two lines in a system of equations are parallel?

Back

It means there is no solution to the system.

Front

What is the graphical representation of a system of equations with infinite solutions?

Back

Two lines that are exactly the same.

Front

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

Back

Substitute the solution back into both original equations.

Front

What is the first step in solving the system of equations: x + y = 5 and y = 2?

Back

Substitute y = 2 into the first equation.

Front

What is the solution to the system of equations: 3x - y = 7 and y = x + 1?

Back

(2, 3).

Front

What does the graph of a system of equations with exactly one solution look like?

Back

Two lines intersecting at one point.