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Ta Rosa Virtual School

Question 7 (Essay Worth 2 points)
(05.03 MC)
A system of equations is given
Equation 1: 4x-6y=10
Equation 2: 9x+2y=7
Explain how to eliminate x in the system of equations

User Manafire
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1 Answer

13 votes
13 votes

Answer:

Explanation:

Find a number that 4 and 9 can both be divided into:

4: 4, 8, 12, 16, 20,24,28, 32, 36

9: 9, 18,27,36

Both 4 and 9 are factors of 36.

Multiply each term in the equation (4x - 6y = 10) by 9.

Multiply each term in the equation (9x + 2y = 7) by 4

4x - 6y = 10 becomes 36x - 54y = 90

9x + 2y = 7 becomes 36x + 8y = 28

Subtract the bottom equation from the top equation

36x - 54y = 90

- 36x + 8y = 28

-62y = 62

User Lynks
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