asked 197k views
4 votes
Solve the system of equations.
3x + 4y = -23
2 = 3y +1
y =
x =

2 Answers

4 votes

Answer:

x = -73/9 , y = 1/3

Explanation:

Solve the following system:

{3 x + 4 y = -23 | (equation 1)

2 = 3 y + 1 | (equation 2)

Express the system in standard form:

{3 x + 4 y = -23 | (equation 1)

0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:

{3 x + 4 y = -23 | (equation 1)

0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:

{3 x + 4 y = -23 | (equation 1)

0 x+y = 1/3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{3 x+0 y = (-73)/3 | (equation 1)

0 x+y = 1/3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = (-73)/9 | (equation 1)

0 x+y = 1/3 | (equation 2)

Collect results:

Answer: {x = -73/9 , y = 1/3

answered
User Jan Petzold
by
7.8k points
5 votes

Answer:

x = -5

y = -2

Explanation:

answered
User Karianpour
by
7.9k points

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