5.2 Solving Systems by Substitution

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

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.

• y = -2x + 18

Solve the system by substitution.

5x + 4y= −14 and y = −7x − 15

Solve the following system by substitution:

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

Solve the following system by substitution:

y = -6x + 5 and -2x + y = 5

What is the solution to this system?

x - y = 6 and y = 2x - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)