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3 years ago

Solve the system of equations below. x + y = 5 -4x – 2y = -8

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:

x = -1 , y = 6

or (-1, 6)

Step-by-step explanation:

First solve for "y" in the second equation:

$-4x-2y=-8\\-4x+8=2y\\y=-2x+4$

and now, use this result as a substitution for "y" in terms of "x" in the first equation:

$x+y=5\\x+(-2x+4)=5\\x-2x+4=5\\-x=5-4\\-x=1\\x=-1$

Knowing the value of "x", now we place it in the substitution equation to find "y":

$y=-2x+4\\y=-2(-1)+4\\y=6\\$

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Suppose 5 out of every 18 of the people who like to work out have a gym membership. At the same rate, in a group of 216 people,

Jlenok [28]

Answer:

60 people

Step-by-step explanation:

Set up a proportion:

$\frac{5}{18}$ = $\frac{x}{216}$

Cross multiply and solve for x:

18x = 1080

x = 60

So, 60 people would have a gym membership

7 0

3 years ago

9. Solve the equation. x + 4 = 3(3x - 4) A 9 4 B 1 C 2 Lounge D 7 4

Alborosie

Answer:

x=2

Step-by-step explanation:

x + 4 = 3(3x - 4)

Distribute

x+4 = 9x -12

Subtract x from each side

x+4 -x = 9x-x-12

4 = 8x-12

Add 12 to each side

4+12 = 8x-12+12

16 = 8x

Divide by 8

16/8 = 8x/8

2 =x

8 0

3 years ago

Read 2 more answers

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of

pashok25 [27]

Answer:

6 11/24

Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

7 0

3 years ago

How do you put 11,760,825 i expanded form

erica [24]

10,000,000 + 1,000,000 + 700,000 + 60,000 + 800 + 20 + 5 = 11,760,825

5 0

4 years ago

The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest r

marin [14]

Answer:

0.11

Step-by-step explanation:

Probability that house sale will increase = P(A) = 0.25

Probability that interest rate on house loans will go up = P(B) = 0.74

Probability that either house sales will go up or interest rates will go up = P(A or B ) = 0.89

We have to find the probability that neither house sales nor interest rates will increase. This event is the compliment of the event that either house sales will go up or interest rates will go up.

i.e.

Probability that neither house sales nor interest rates will increase = $P(A \cup B)^{c}$

$P(A\cup B)^{c} = 1 - P(A \cup B)$

Using the value of P(A U B), we get:

$P(A\cup B)^{c} = 1 - 0.89\\\\ P(A\cup B)^{c} = 0.11$

The probability that neither house sales nor interest rates will increase during the next 6 months is 0.11

7 0

3 years ago