Solving Linear Equations with Two Variables

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

Slope Intercept Form of a Linear Equation

• y = mx + b

• y - y1 = m (x - x1)

• Ax + By = C

• y + x = b

Point slope form of a linear equation

• y = mx + b

• y - y1 = m (x - x1)

• Ax + By = C

• y + x = b

Standard form of a linear equation

• y = mx + b

• y - y1 = m (x - x1)

• Ax + By = C

• y + x = b

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

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Solve the system by using the substitution method

• (3,6)

• (6,3)

• (1,4)

• (4,1)

Solve the system of equations using the substitution method

• (-2,6)

• (6,-2)

• (-2,4)

• (4,-2)

Solve this system by substitution.

• (1,-4)

• (1,4)

• (-4,-7)

• (-7,-4)

What is the first step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables

What is the third step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Substitute the expression from the previous step in the other two equations to obtain a linear system in two variables