X+y=3 x+4y=2

To solve this system of equations, we can use the method of substitution or elimination.

Let's solve it using the method of substitution.

From the first equation, we can express x in terms of y:

x = 3 - y

Substitute this value of x into the second equation:

3 - y + 4y = 2

Combine like terms:

3 + 3y = 2

Subtract 3 from both sides:

3y = 2 - 3

3y = -1

Divide both sides by 3:

y = -1/3

Now, substitute this value of y back into the first equation to solve for x:

x + (-1/3) = 3

Multiply both sides by 3 to clear the fraction:

3x - 1 = 9

Add 1 to both sides:

3x = 10

Divide both sides by 3:

x = 10/3

So, the solution to the system of equations is x = 10/3 and y = -1/3.