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Step-by-step solution for Example 5, showing how to find the intersection of two lines.

Math example solving system of equations y=9x+2 and y=3x+2 using elimination method to find point (0,2)

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Show Answer Key & Explanations Step-by-step solution for: Math Example--Systems of Equations--Solving Linear Systems by ...

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- The system of equations is:
y = 9x + 2
y = 3x + 2

- Since both equations equal y, set them equal to each other:
9x + 2 = 3x + 2

- Subtract 3x from both sides:
6x + 2 = 2

- Subtract 2 from both sides:
6x = 0

- Divide by 6:
x = 0

- Substitute x = 0 into either original equation (e.g., y = 9x + 2):
y = 9(0) + 2 = 2

- The solution is the point (0, 2).

Parent Tip: Review the logic above to help your child master the concept of elimination using multiplication worksheet answers.

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