To solve the equation -2k = 13, you need to isolate the variable k.
Step 1: Divide both sides of the equation by -2. This gives you k = -13/2.
Now let's solve the second equation k + m = 8 for the variable m.
Step 2: Substitute the value of k from the first equation into the second equation. This gives you (-13/2) + m = 8.
Step 3: To isolate the variable m, you need to get rid of the fraction. Multiply both sides of the equation by 2 to clear the fraction. This gives you -13 + 2m = 16.
Step 4: Now, solve for m. Add 13 to both sides of the equation to isolate the variable m. This gives you 2m = 16 + 13 = 29.
Step 5: Finally, divide both sides of the equation by 2. This gives you m = 29/2.
Therefore, the solution to the system of equations -2k = 13 and k + m = 8 is k = -13/2 and m = 29/2.
