Question

X-3y = 16 4x-y=9

I’m so confused

Answer 1

Answer:

x=1 and

y= -5

Answer 2

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.