Systems with Substitution
HS Math
Created on October 7, 2024
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objectives
Solving with Substitution
- Solve systems of equations with substitution - Apply solving systems with substitution to real world scenarios - Identify systems of equations with special solutions.
y = 8 - 3x3x + 2y = 13
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How it's done
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
-2y + 4 = x4x - 3y = -6
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How it's done
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
3x - y = -72x + y = 2
How it's done
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
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How it's done
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
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Your Turn!
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Your Turn!
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Your Turn!
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Dana's team is selling hoagies and pizzas for a fundraiser.Hoagies cost $9. Pizzas cost $8. The team sells 99 total items and makes a total of $810. Write and solve a system of equations to find out how many of each item they sold.
Special solution!
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
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3x - 4y = 126x - 8y = 24
Special solution!
Step 1: Isolate a variable. Step 2: Whatever that variable equals, substitute into the other equation. Now you only have one variable in an equation Step 3: Solve for the remaining variable. Step 4: Substitute the value of that variable into the first equation. Step 5: Write the solution as an ordered pair. Step 6: Verify!
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