using slope intercept for solving systems using substitution
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Patricia Carrow
Used 6+ times
FREE Resource
6 Slides • 9 Questions
1
Solving by substitution
Step 1; Make sure both equations are in slope intercept form
2
Multiple Choice
Which of these equations is in slope intercept form?
3x - 2y = 10
2x = 6y - 2
2y = 6x + 3
y = 2x + 1
3
Multiple Choice
What is the slope intercept form for
2y = 6x + 3 ?
It is already in slope intercept form
y = 3x + 2/3
y = 3x + 3/2
y = 3x + 3
4
Multiple Choice
What is the slope intercept form for
2y + 4x = 6 ?
y + 2x = 3
y = 2x + 3
y = 3 - 2x
y = -2x + 3
5
Solving by substitution
Step 2: since y = y, set the equations equal to each other
6
Example of step 2
y = 3x + 2 y = -2x + 3
Since y = y when solving a system of equations,
3x + 2 = -2x + 3
7
Multiple Choice
How would you set up this system for solving for x?
y = x + 2 y = 2x + 5
x + 2 =
2x + 5
x - 2 =
2x + 5
x + 5 =
2x + 2
x - 2 =
2x - 5
8
Step 3: Solve for x
y = 2x + 3 y = x - 5
2x + 3 = x - 5 subtract x from both sides
x + 3 = -5 Subtract 3 from both sides
x = - 8
9
Multiple Choice
Solve for x
y = 6x + 4 y = 2x + 2
x = 6/8
x = -1/2
x = 1/2
x = 0
10
Multiple Choice
solve for x
y = 3x + 2 y = -2x - 4
x = -6/5
x = 6/5
x = 5/6
x = - 5/6
11
Step 4: Solve for y
y = 2x + 3 y = x - 5
2x + 3 = x - 5 subtract x from both sides
x + 3 = -5 Subtract 3 from both sides
x = - 8 Put -8 into either equation to solve for y
y = -8 - 5 y = -13
12
Multiple Choice
Solve for y if x = -1/2
y = 6x + 4 y = 2x + 2
y = 1
y = -1/2
y = 1/2
y = 0
13
Step 5: check your answer
y = 2x + 3 y = x - 5
x = - 8 y = -13
-13 = 2(-8) + 3 -13 = -8 - 5
-13 = =-16 + 3 Both answers check, the answer is (-8, -13)
14
Multiple Choice
Try this one on your own. Find the solution to this system:
y = x + 6 y = - x + 4
x = 1
y = 7
x = 1
y = 3
x = - 1
y = 5
x = -1
y = -5
15
Poll
how are you doing on this skill?
Solving by substitution
Step 1; Make sure both equations are in slope intercept form
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