Systems of Equations: Substitution(guided)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

• (3,-9)
• (-3,-9)
• (-3,9)
• (0,1)

What is the solution to this system?
x= 7 - 2y
2x + y = 5

• (-1,4)
• (4,-1)
• (1,3)
• (3,1)

What is the value of the y-coordinate of the solution to the system of equations 
x - 2y =1
x + 4y =7 

• 1
• -1
• 3
• 4

x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

This system has _____ solutions

• no
• 1
• 2
• Infinitely many