Solve for x and y

7x=2y

4x=y+2

x = (2/7) y

then
4(2/7) y = y + 2
8y/7 = 7y/7 + 14/7

8 y = 7 y + 14
so
y = 14
but x= 2 y/7
so
x = 4

7x=2y

4x=y+2
y = 4x -2

7x = 2(4x -2)
7x = 8x -4

-x = -4

x = 4
y = 14

(4,14)

To solve the system of equations:

1. Start by isolating one variable in one of the equations. Let's isolate y in the second equation:

4x = y + 2

Subtract 2 from both sides:

4x - 2 = y

2. Since both equations are equal to y, we can set them equal to each other:

7x = 2y

Set 2y equal to 4x - 2:

7x = 4x - 2

3. Subtract 4x from both sides:

7x - 4x = -2

4. Simplify the left side:

3x = -2

5. Divide both sides by 3:

x = -2/3

Now that we know the value of x, we can substitute it back into either equation to solve for y. Let's use the first equation:

7x = 2y

Substitute x = -2/3:

7(-2/3) = 2y

6. Simplify the left side:

-14/3 = 2y

7. Divide both sides by 2:

-7/3 = y

Therefore, the solution to the system of equations is x = -2/3 and y = -7/3.