Step-by-step explanation:
Let's solve your system by elimination.
3k−4m=−1;2k+3m=12
Multiply the first equation by 3,and multiply the second equation by 4.
3(3k−4m=−1)
4(2k+3m=12)
Becomes:
9k−12m=−3
8k+12m=48
Add these equations to eliminate m:
17k=45
Then solve17k=45for k:
17k=45
----
17k
=17
45
17
(Divide both sides by 17)
k=
45
17
Now that we've found k let's plug it back in to solve for m.
Write down an original equation:
3k−4m=−1
Substitute
45
17
forkin3k−4m=−1:
3(
45
17
)−4m=−1
−4m+
135
17
=−1(Simplify both sides of the equation)
−4m+
135
17
+
−135
17
=−1+
−135
17
(Add (-135)/17 to both sides)
−4m=
−152
17
−4m
−4
=
−152
17
−4
(Divide both sides by -4)
m=
38
17
Answer:
k=
45
17 and m=
38
17
