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.