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4 votes
Solve each system using either 1
1. 5x - y = 12
3x + y = 4

User Tjelle
by
8.7k points

1 Answer

7 votes

Answer:

x = 2 , y = -2

Explanation:

Solve the following system:

{5 x - y = 12 | (equation 1)

3 x + y = 4 | (equation 2)

Subtract 3/5 Ă— (equation 1) from equation 2:

{5 x - y = 12 | (equation 1)

0 x+(8 y)/5 = (-16)/5 | (equation 2)

Multiply equation 2 by 5/8:

{5 x - y = 12 | (equation 1)

0 x+y = -2 | (equation 2)

Add equation 2 to equation 1:

{5 x+0 y = 10 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 2 | (equation 1)

0 x+y = -2 | (equation 2)

Collect results:

Answer: {x = 2 , y = -2

User Majman
by
8.2k points