Solve the system of equations: 3x + 4y = -5 5x + 4y = 1

System of Equations:

• 3x + 4y = -5
• 5x + 4y = 1

Solution:

We can solve this system using the elimination method. Notice that the coefficients of y are the same. Subtract the first equation from the second equation:

(5x + 4y) - (3x + 4y) = 1 - (-5)

5x + 4y - 3x - 4y = 1 + 5

2x = 6

Divide by 2:

x = 3

Now substitute the value of x back into the first equation:

3(3) + 4y = -5

9 + 4y = -5

Subtract 9 from both sides:

4y = -5 - 9

4y = -14

Divide by 4:

y = -14/4

Simplify the fraction:

y = -7/2

Final Answer:

x = 3, y = -7/2