3 years ago

Can someone solve these simultaneous equations and explain the way to do this easily:

1 answer:

N76 [4]3 years ago

8 0

The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.

(3x + y = -4)
-(3x -4y = 6)

Distribute the negative:

(3x + y = -4)
(-3x + 4y = -6)

Now add the equations together term by term:

0x + 5y = -10

5y = -10

y = -2

Plug y = -2 into either equation to find x.

3x + (-2) = -4

3x = -2

x = -2/3

So the answer as an ordered pair is (-2/3, -2)

You might be interested in

The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calcu

horrorfan [7]

Step-by-step explanation:

Hello all beautiful your day

4 0

3 years ago

Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came o

makvit [3.9K]

53.70-9.60=44.10
44.10/2=$22.05
The answer is $22.05

3 0

3 years ago

The probability of it snowing on a given day is 41<br>What is the probability of it not snowing?

yuradex [85]

Answer:

The probability is 0.15

6 0

3 years ago

L is a point of tangency. Segments PL and PN have a common point at P. Find the length KN.

Rina8888 [55]

The answer to the question is 4.5.

7 0

4 years ago

a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

Answer: $\dfrac{12}{13}$

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

$P(B|A)=1$

$P(B|A')=\dfrac{1}{4}$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$

The probability that the student knows the answer given that he answered it correctly is $\dfrac{12}{13}$ .

6 0

3 years ago