Solving Systems by SUBSTITUTION (some graphing review)

What is the first step in solving a system by Substitution?

• Make sure both equations are in standard form.
• Make sure at least one equation is solved for one variable.
• Make sure both equations are in slope-intercept form.
• Make sure both equations can be solved.

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

y = -2x + 5
y = 2x - 11

• No Solution
• (0, 0)
• (3, -1)
• (4, -3)

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

x + 2y = 2
x = -4y + 2

• (-3, 0)
• (0, 2)
• (-3, -2)
• (2, 0)

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Type the solution to the system of equations as an ordered pair, (x,y).

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

An ordered pair that satisfies both equations in a system of linear equations is called a ​ (a)   to the system of equations.

• solution
• coordinate
• inconsistent
• input

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)