Solving Systems: 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 the other equation.

Front

How do you solve for y in the equation y = 2x - 4?

Back

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

Front

What is the solution to the system: y = 2x - 4 and 7x - 2y = 5?

Back

The solution is (-1, -6).

Front

What does it mean if two equations have no solution?

Back

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

Front

What is the solution to the system: y = 11 and y + 4x = 35?

Back

The solution is (6, 11).

Front

How do you find the intersection of two lines represented by equations?

Back

Set the equations equal to each other and solve for the variable.

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

The solution is (1, 3).

Front

What is the first step in solving the system: y = 3x - 11 and 2x + 3y = 0?

Back

Substitute y from the first equation into the second equation.

Front

What is the solution to the system: y = 2x + 9 and x = -3?

Back

The solution is (-3, 3).