Substitution (already isolated)

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 another equation to find the values of the variables.

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 infinite solutions?

Back

It means that the equations represent the same line, and there are countless points of intersection.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope-intercept form of the equation 4x + 2y = 10?

Back

y = -2x + 5.

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one of the equations for one variable in terms of the other variable.

Front

If y = 3 - x, what is the value of y when x = 1?

Back

y = 2.

Front

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

Back

(2, 1).

Front

What does it indicate if you arrive at a statement like 2 = 2 when solving a system of equations?

Back

It indicates that there are infinite solutions to the system.

Front

What is the graphical representation of a system with one solution?

Back

Two lines that intersect at exactly one point.