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2 votes
Simultaneous equations
3x + 2y= 13
x + 2y= -1

User Abiku
by
6.0k points

1 Answer

5 votes

Answer:

{x = 7 , y = -4

Explanation:

Solve the following system:

{3 x + 2 y = 13 | (equation 1)

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

Subtract 1/3 × (equation 1) from equation 2:

{3 x + 2 y = 13 | (equation 1)

{0 x+(4 y)/3 = (-16)/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x + 2 y = 13 | (equation 1)

{0 x+y = -4 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 21 | (equation 1)

{0 x+y = -4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 7 | (equation 1)

{0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 7 , y = -4

User Amrik
by
5.3k points