4k=17 k+m=2

To solve for the values of k and m, we need to use the second equation to find the value of k, and then substitute it into the first equation to solve for m.

Given: 4k = 17 k + m = 2

We can start by solving the second equation for k: k + m = 2 k = 2 - m

Now, we substitute this value of k into the first equation: 4k = 17

4(2 - m) = 17 8 - 4m = 17

Next, we isolate the variable: -4m = 9 m = -9/4

Now let's substitute this value of m back into the second equation to solve for k: k + m = 2 k + (-9/4) = 2

To make calculations simpler, we can multiply everything by 4 to get rid of the fraction: 4k - 9 = 8 4k = 17

Divide both sides by 4: k = 17/4

So, the solution is: k = 17/4 m = -9/4