Solve the system of equations: x + y = 2 5x + 2y = 3

System of Equations:

• x + y = 2
• 5x + 2y = 3

Solution:

From the first equation, we can express x as: x = 2 - y

Substitute this into the second equation:

5(2 - y) + 2y = 3

10 - 5y + 2y = 3

10 - 3y = 3

Subtract 10 from both sides:

-3y = 3 - 10

-3y = -7

Divide by -3:

y = 7/3

Now substitute the value of y back into the equation for x:

x = 2 - y

x = 2 - 7/3

x = 6/3 - 7/3

x = -1/3

Final Answer:

x = -1/3, y = 7/3