Solve using the substitution method 2x+3y=1 y=x-8

Answers

Answer 1

Answer: subsitute

y=x-8
since y=x-8, subsitute x-8 for y

2x+3(x-8)=1
distribute (a(b+c)=ab+ac)
3(x-8)=3x-24

2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3

x=5
y=-3 is solution
in (x,y) forom
(5,-3) is the solution

Answer 2

Answer: I will try to solve your system of equations.y=x−8;2x+3y=1Step: Solvey=x−8for y:Step: Substitute x−8 for y in 2x+3 y=1:2x+3y=12x+3(x−8)=15x−24=1 (Simplify both sides of the equation)5x−24+24=1+24 (Add 24 to both sides)5x=255x5=255 (Divide both sides by 5)x=5Step: Substitute 5 for x in y=x−8:y=x−8y=5−8y=−3(Simplify both sides of the equation)Answer:y=−3 and x=5

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Given the preimage and image, find the dilation scale factor

Answers

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

if u count the dots on the sides of the preimage there are 2 dots that's the length
if u count the dots on the real image it's 4
therefore 2/4 to it's lowest term is 1/2
so 1/2 is the scale factor

Answer:

should be 1/2 as your answer

BRAINLIEST!!!!!!please hurry!!!!!what is 3+4(74-32)+89

Answers

Answer:

260

Step-by-step explanation:

3+4(42)+89

3+168+89

260

Answer:

260

Step-by-step explanation:

Work in the parentheses first; 74-32 is 42. Then work with multiplication, 42 times 4 is 168. 168+89+3 = 260

On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?

Answers

200 * 0.40 = 80
80 children

Answer:

80 children

Step-by-step explanation:

(200 * 40) /100 = 80

Complete the solution of the equation. find the value of y when x equals -8
8x+8y=-48

Answers

8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
(8) (−8) + 8y = −48
−64 + 8y = −48
8y − 64 = −48
-----------------------------------------
Add 64 to each side
8y − 64 + 64 = −48 + 64
8y = 16
---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = 2
----------------------------------------------------------------
y = 2 is your answer

if employee a logged 120 hours of travel in four years and employee b logged hours of travel at a 20% higher rate, how many more hours did employee b have than employee a after 1.5 years

Answers

Traveled hours by a in four years = 120
Traveled hours by b in four years = (120/100) * 120
= 144
Excessive hours traveled by b in 4 years = 144 - 120
= 24
Excessive hours traveled by b in 1.5 years = (24/4) * 1.5
= 9 hours

86 is 45% of what number

Answers

To get the answer we can use proportion
86 --------------45%
x ---------------- 100%
Now cross multiply
x*45%=86*100
45x=8600 /:45 (divide both sides by 45)
x=191.11 - its the answer

The best thing to do is to find 1%, and you can do this by diving 86 by 45. 86/45= 1.9111, and you've then got to multiply this by 100, and this gives you 191.11Hope this helps :)

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How to slove this 4x+y_<-2

Of the 2,500 light bulbs produced in one hour at General Lighting, 75 were defective. What percent of the light bulbs were defective?