Question

Solve, using the substitution method.


m + n = 5

m – n = 3









A.

There is no solution.








B.

The solution is (2, –1)








C.

The solution is (4, 1)








D.

There are an infinite number of solutions.

Answer 1

C. The solution is (4, 1).
Where:
\[m = 4, n = 1\]

Plug it in to see if it is true:
\[4 + 1 = 5 \]
\[4 – 1 = 3\]
They are true, thus your answer must be C.

Answer 2

Thanks! :D I have 4 more questions though plz :D

Answer 3

These types pf questions are not that hard, attempt them if you don't understand them, post a new thread and tag me by doing:
@LanguageEnthusiast

I will try to help you if I can :-).

Answer 4

Solve the given system, using the substitution method.


y = 4x – 6

8x – 2y = 14










A.

(14, 12)








B.

(12, 14)








C.

There are an infinite number of solutions.








D.

There is no solution.

Answer 5

@Wildberries
What don't you understand?
\[y = 4x – 6\]
\[8x – 2y = 14\]
You have to equations.

Since the question is multiple choice simply plug in values that are given and try them out.

Let us try the first answer choice:
y = (4(14)) – 6
y = 50
Plug that into the second equation:
\[8x – 2(50) = 14\]
\[x = 14.250\]

Thus A cannot be it, now try B yourself :-).

Answer 6

@Wildberries ... do you understand how to do the substitution method? If not, I can explain it.

Answer 7

yes