s+t=-4 and s-t=2

add the two equations, the t will disappear,then you can solve for s. Then put s back in either equation, and solve for t.

Add the two equations together (left and right sides) and you get

2s = -2

Then divide both sides by 2 to find out what s is. Then use either equation to get t.

To find the values of s and t in the given system of equations, we can use the method of elimination or substitution.

Method 1: Elimination
1. Start with the given equations:
s + t = -4 ...(Equation 1)
s - t = 2 ...(Equation 2)
2. Add Equation 1 and Equation 2 to eliminate the t variable:
(s + t) + (s - t) = -4 + 2
2s = -2
3. Solve for s by dividing both sides by 2:
s = -2 / 2
s = -1
4. Substitute the value of s into one of the original equations to find t. Let's use Equation 1:
-1 + t = -4
t = -4 + 1
t = -3

Therefore, the solution to the system of equations is s = -1 and t = -3.

Method 2: Substitution
1. Start with the given equations:
s + t = -4 ...(Equation 1)
s - t = 2 ...(Equation 2)
2. Solve Equation 2 for s:
s = t + 2 ...(Equation 3)
3. Substitute Equation 3 into Equation 1:
(t + 2) + t = -4
2t + 2 = -4
4. Solve for t by subtracting 2 from both sides:
2t = -4 - 2
2t = -6
t = -6 / 2
t = -3
5. Substitute the value of t into Equation 3 to find s:
s = -3 + 2
s = -1

Therefore, the solution to the system of equations is s = -1 and t = -3.

You can verify the solution by substituting the values of s and t back into the original equations and check if they satisfy both equations.