Substitution method of y=x+5 and 5x+y=3

Answers

Answer 1
Answer: To solve by substitution, you need to fill in the value for either x or y. Since y = x + 5, you already have the y value. It's x + 5. Now you need to find x before you can go any further. So let's take 5x + y = 3 and fill x + 5 in for y. 5x + y = 5 5x + x + 5 = 3 Now solve for x. 5x + x + 5 = 3 6x + 5 = 3 6x = 3 - 5 6x = -2 x = -2/6 or -0.33 Now solve x + 5 for y. y = x + 5 y = -0.33 + 5 y = 4.67 So x = -0.33 and y = 4.67
Answer 2
Answer: Solve for the first variable in one of the equations,then substitute the result into the other equation.
(-1/3,14/3) 

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A middle school basketball game is 40 minutes. In the last home game, Toby played for 65% of the 40 minutes. How many minutes of the game did he play?

Answers

Do 65/100. Gives you 0.65 right.
So then do 0.65*40 = 26
Answer is 26 minutes.
The answer is 26 minutes.

40*0.65= 26

Hope this helps

the ratio of oil to vinger in a certain salad dressing is 8:5 how much oil must be blended with 7liters of vinegar for that recipe

Answers

I think the answer is that 11.2 litres of oil is requires for 7litres of vinegar
To get the answer we can use propotion
8 oil ---------------5 vinegar
x oil----------------7 vinegar
Crossmultiply now
5x=8*7
5x=56   :5
x=11.2 - its the answer

An airplane flies a distance of 650km at an average speed of 300 km/h. How much time did the flight take?

Answers

To solve this, you can set up a proportion and cross multiply. 

(650)/(x)= (300)/(1)   \n  \n 650*1=300*x \n  \n 650=300x \n  \n 2.17=x

2.17 hours
Distance x speed = time
300 x 650
=195000
Checking
Distance divide time = speed
195000 divide 600
=300

What is the slope between the points (3, 5) and (-2, -4)?A) 9/5
B) 1
C) 5/9
D) -5/9

Answers

The slope is 9/5 
The formula is y-y1/x-x1
Using the slope formula I have found that the slope is m= 9/5 which is option A.

Is 4005 divisible by 2

Answers

4005 is not dividable by 2

Jessie is building a doghouse. For one side of the roof, she needs a board that is 7 3/4 feet long. She has a board that measure 9 1/12 feet. How much of the length does she need to cut from the board? Show your work and simply the fraction.

Answers

9 1/12 ft = 109/12
7 3/4 = 31/4
You need to give them the same denominator, so you'll need to multiply the top and bottom of 31/4 by three
109/12 - ((31*3)/(4*3))=x
109/12 - 93/12 = x
(109-93)/12 = x
16/12 = x
(16/4)/(12/4) = x
4/3 = x
4/3 = 1 1/3
Jessie needs to cut 1 1/3 feet off the board.