Solving Systems by Graphing and Substitution

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect on a graph.

Front

How do you solve for x in the equation 2x + 2y = 18?

Back

x = -y + 9

Front

Is (4, 1) a solution for the system of equations y = -x + 5 and y = 2x - 7?

Back

Yes, it satisfies both equations.

Front

What does it mean when two lines intersect on a graph?

Back

It means that there is a common solution to the system of equations represented by those lines.

Front

How do you solve for y in the equation y + 2 = 3x?

Back

y = 3x - 2

Front

What is the graphical representation of a system of equations?

Back

It is represented by two or more lines on a coordinate plane.

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

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

Back

It means there is no solution, as the lines never intersect.

Front

What is the first step in graphing a linear equation?

Back

Identify the y-intercept and the slope.

Front

How can you check if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations to see if they hold true.