Systems of Equations (Substitution)

Front

What is a system of equations?

Back

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 the context of systems of equations?

Back

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

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable. 4. Substitute back to find the first variable.

Front

What is the solution to the system of equations: x = 3 and x + y = 10?

Back

(3, 7)

Front

What is the solution to the system of equations: x = 2 and x + y = 6?

Back

(2, 4)

Front

Which equation represents the substitution of x = 3 into y = 10 - x?

Back

y = 10 - 3 = 7

Front

What is the correct substitution for the system: x = 3 and 2x + 5y = 19?

Back

2(3) + 5y = 19

Front

What is the correct substitution for the system: x = -6 and 3x - 6y = 30?

Back

3(-6) - 6y = 30

Front

What is the solution to the system of equations: x - 2y = 18 and y = -3x - 16?

Back

(2, -1) is the solution.

Front

What is the correct substitution for the system: x = 2y + 3 and 3x - 6y = 30?

Back

3(2y + 3) - 6y = 30