Solving Systems of Equations Using Substitution

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

Solve the following systems of equations using substitution: y = 3 - x, 3y + x = 5

Back

(2, 1)

Front

Solve the following systems of equations using substitution: 2y + x = -15, x = 3y

Back

(-9, -3)

Front

Solve the following systems of equations using substitution: x = 6, y = 2x - 3

Back

(6, 9)

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What does it mean for two equations to be consistent?

Back

It means they have at least one solution (they intersect at one or more points).

Front

What does it mean for two equations to be inconsistent?

Back

It means they have no solutions (they do not intersect).

Front

What is the first step in the substitution method?

Back

Solve one of the equations for one variable.

Front

If x = 2y + 3, what is y when x = 7?

Back

y = 2