Review 7.1 - 7.4

Front

What is the solution (x, y) to a system of equations?

Back

The solution is the point where the equations intersect.

Front

Solve the system of equations: y = 3x - 11 and 2x + 3y = 0.

Back

(3, -2)

Front

Solve the system of equations: y = 5x + 1 and y = 3x + 13.

Back

(6, 31)

Front

Solve the system of equations by graphing: y = 2/3x + 3 and y = 2x - 1.

Back

(3, 5)

Front

Solve the system of equations by graphing: y = -1/2x - 4 and y = 2x + 1.

Back

(-2, -3)

Front

What does it mean for two lines to intersect in a graph?

Back

It means they have a common solution (x, y) that satisfies both equations.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines representing the equations.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

It involves adding or subtracting equations to eliminate a variable.

Front

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

Back

It means they have no solution as they never intersect.