Systems of Equations

Front

What kind of lines have no solution to a system of equations?

Back

Parallel Lines

Front

Is (1,10) a solution to the system: y=7x+5 and y=x+9?

Back

No

Front

Solve for x and y: y = 3x + 4 and y = -x + 6.

Back

(2, 10)

Front

Give the solution to the system: y = 2x + 1 and y = -x + 4.

Back

(1, 3)

Front

Find the solution to the system: y = x - 6 and y = -3x + 2.

Back

(2, -4)

Front

What does it mean for two lines to be intersecting in a system of equations?

Back

They have one solution, where they cross each other.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection of lines on a coordinate plane.

Front

What is a solution to a system of equations?

Back

A set of values that satisfy all equations in the system.

Front

What are overlapping lines in a system of equations?

Back

They represent infinitely many solutions, as they are the same line.

Front

What is the substitution method in solving systems of equations?

Back

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