Solving systems by graphing and substitution

Front

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

Back

get either variable by itself

Front

What is the solution to the system of equations: 3x - y = 4 and x + 2y = 6?

Back

(-2, 2)

Front

Solve the system by substitution: 3x - y = 4 and x + 2y = 6.

Back

(2, 2)

Front

Which variable should you isolate first in the system: 3x + 2y = 10 and x - 5y = 18?

Back

The x in the second equation

Front

Solve with substitution: x = -3y - 8 and x - 2y = -3.

Back

(-5, -1)

Front

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

Back

It means to plot both equations on a graph and find the point(s) where they intersect.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

When is a system of equations considered to be inconsistent?

Back

When there is no solution, meaning the lines are parallel.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What does it mean if two equations represent the same line?

Back

The system has infinitely many solutions.