A1-U4.2 Lesson Check: Solving Systems w/ Substitution

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does substitution mean in solving systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.

Front

How do you solve for y in the equation y = 4x - 1?

Back

To solve for y, simply substitute the value of x into the equation.

Front

What is the first step in solving the system of equations y = 2x - 5 and y = 4x - 1 using substitution?

Back

Set the two equations equal to each other: 2x - 5 = 4x - 1.

Front

What is the solution to the system of equations x = 2 and y = 5x + 3?

Back

The solution is (2, 13).

Front

How do you substitute y in the equation 2x + 5y = 19 if y = 3x - 3?

Back

Substitute y: 2x + 5(3x - 3) = 19.

Front

What is the correct substitution for the system y = 5x - 2 and y = 7x - 13?

Back

The correct substitution is 5x - 2 = 7x - 13.

Front

What is the solution to the system of equations y = 2x - 10 and y = -4x + 8?

Back

The solution is found by setting 2x - 10 = -4x + 8.

Front

What does it mean if two equations in a system have no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines on a coordinate plane.