WEEK 2C(FOA)

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the first step to solving a system of equations by substitution?

Back

Get either variable by itself in one equation.

Front

Solve for y in the equation: x = -3y - 17.

Back

y = (-x - 17)/3.

Front

Given the equations y = 5x - 7 and -3x - 2y = -12, what is the solution using substitution?

Back

(2, 3).

Front

What does it mean for a point to be a solution to a system of equations?

Back

It means that the point satisfies all equations in the system.

Front

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

Back

Substitute the x and y values of the point into each equation to see if they hold true.

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5).

Front

If y = -6, what is the solution to the equation -3x - 6y = 24?

Back

(4, -6).

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines represented by the equations.

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.