Identifying and Solving System of Equations

Solve the following system by substitution:

7x + y = -20 and y = 3x + 10

Solve the following system by substitution:

y = 2x + 5 and -4x + y = 9

Solve the following system by substitution:

5x + y = -10 and y = -6x - 13

Solve the following system by substitution:

3x + y = 1 and y = 4x + 1

A set of two or more linear equations with the same variables that are solved together to find a common solution.

• Inequality

• No Solution

• System of Linear Equations

• Infinite Solutions

A method of solving a system of linear equations by adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the other variable.

• Elimination

• Inequality

• Graphical Solution

• LInear Function

A method of solving a system of linear equations by substituting one equation into another to find the values of the variables.

• Substitution

• Elimination

• Inequality

• Linear Function

When a system of linear equations has an infinite number of solutions, meaning all values of 'x' and 'y' satisfy the equations.

• No Solution

• Infinite Solutions

• Substitution

• Elimination

When a system of linear equations has no common solution, meaning the lines represented by the equations are parallel and will never intersect.

• Substitution

• Elimination

• No Solution

• Linear Function

What is another term for systems of equations?

• Simultaneous Equations

• Linear Functions

• Linear Equations

• y-intercept