206k views
5 votes
X-3y = 16 4x-y=9

I’m so confused

2 Answers

1 vote

Answer:

x=1 and

y= -5

User Nicholas Obert
by
7.5k points
3 votes

Answer:

x = 1, y = -5.

Explanation:

X-3y = 16 Equation (1)

4x- y = 9 Equation (2)

We can solve this by the Method of Elimination.

One way is to multiply the second equation by -3, as follows:

-3(4x - y = 9)

= -12x + 3y = -27 Call this equation (3)

Now if we add equation (3) to equation (1) we eliminate the y terms:

x - 3y = 16

-12x + 3y = -27 Adding:

-11x + 0 = -11

-11x = -11

x = -11/-11 = 1

Finally, we find the value of y by substituting x = 1 into equation (2):

4(1) - y = 9

-y = 9 - 4

-y = 5

y = -5.

So, the answer is x = 1, y = -5.

or we can write it as an ordered pair (1, -5).

Hope this helps.

User Martina
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories