x-y=5
x+y=7
From 1
X-y=5
Or x= 5+y
Putting value of x(ie - 5+ y) in eqn. 2
5+2y =7
Or y=(7-5)/2
Solve for y and put the value of y in equation 1
just add them:
2x = 12
x = 6
Now subtract them
2y = 2
y = 1
done
To find the values of x and y that satisfy the given system of equations:
1. Start by adding the two equations together.
(x - y) + (x + y) = 5 + 7
Simplifying, we get: 2x = 12
2. Divide both sides of the equation by 2 to isolate x.
2x / 2 = 12 / 2
This simplifies to: x = 6
3. Now that we have the value of x, substitute it back into one of the original equations to solve for y. Let's use the second equation.
x + y = 7
6 + y = 7
Subtract 6 from both sides: y = 7 - 6
Which simplifies to: y = 1
Therefore, the solution to the system of equations is x = 6 and y = 1.