4k=5 k+m=-3

To solve the system of equations:

Equation 1: 4k = 5

We can solve for k by dividing both sides of the equation by 4:

k = 5/4

Now, we substitute this value of k into Equation 2:

Equation 2: k + m = -3

Substituting the value of k we found: (5/4) + m = -3

Next, we can solve for m by isolating it on one side of the equation:

m = -3 - (5/4)

m = (-12/4) - (5/4)

m = -17/4

Therefore, the solutions to the system of equations are: k = 5/4 and m = -17/4.