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Solve each system by elimination 1. 3x+4y=10-3x-6y= -6

User Mecon
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1 Answer

5 votes

Answer:

The solution to the system of equations is:

x = 6

y = -2

Step-by-step explanation:

Given the pair of equations:

3x + 4y = 10 .......................................................................(1)

-3x - 6y = -6 ......................................................................(2)

Add equation (1) and (2) to eliminate x

4y - 6y = 10 - 6

-2y = 4

y = 4/(-2)

= -2

Multiple (1) by 6, and (2) by 4 to eliminate y

(1) * 6:

18x + 24y = 60

-12x - 24y = -24

Adding:

18x - 12x = 60 - 24

6x = 36

x = 36/6 = 6

User Yanni Wang
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