Solving Systems with Two Equations in Slope-Intercept Form

a set of values that make all equations in a system true

• evaluate a system of equations

• initial value of a system of equations

• solution to a system of equations

• substitution of a system of equations

when the system of equations have the same slope but different y-intercepts

• infinitely many solutions

• one solution

• y-intercept

• no solution

graphing 2 or more linear equations to determine the solution to the system

• solving a system of equations

• substitution method

• elimination method

• graphing method

when you add or subtract two equations to eliminate one of the variables

• elimination method

• graphing method

• solving a system of equations

• substitution method

when the system of equations graph the same line

• y-intercept

• infinitely many solutions

• no solution

• one solution

when the system of equations intersect at a point

• infinitely many solutions

• one solution

• no solution

• y-intercept

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Answer explanation

The lines intersect at (1,3) so that is the solution.

Will the solution (-3, -7) make the following system of equations a true statement? y = 4x + 5 y = x – 4

• YES

• NO

Answer explanation

The equations are exactly the same. (SAME slope AND SAME y-intercept). The lines intersect at EVERY point.​ ​

• Infinitely Many Solutions

• No Solution

• One Solution