Solve the system of equations. X + y = -4 and y= -x + 5

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

NO SOLUTIONS!!

Step-by-step explanation:

We are given the equations of two lines:

$x + y = -4$ and

$x + y = 5$ .

Here, we are to find two ral numbers, $(x, y)$ such that $x + y = -4$ and $5$ at the same time. This is clearly not possible.

So we say this system of equations is inconsistent and have no solutions.

This means that when we graph them these two lines will never intersect and in fact they are a pair of parallel lines.

So, the system does not have a solution.

You might be interested in

Use factoring to simplify the expression x^2-x-6/x-3 assume that x does not equal 3

Gre4nikov [31]

This works out beautifully. You COULD use long division here, but since your numerator is a quadratic, your first instinct should be to try and factor it. If you factor it, it works out to be (x - 3)(x + 2). Now it just so happens that when you do that, the (x - 3) in the numerator will cancel with the (x - 3) in the denominator leaving you with one sad and lonely (x + 2) as your answer.

3 0

2 years ago

In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.

Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

KM ≅ LM

3x + 23 = 7x - 37

23 = 4x - 37

60 = 4x

15 = x