Question

3k-4m - 1 2k+3m12 Solve the following equation using elimination method

Answer 1

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