4 years ago

Use substitutions to solve each system of equations.[y = 4x -6] [5x + 3y = 1]

Mathematics

1 answer:

boyakko [2]4 years ago

4 0

y=4x-6.....(1)

5x+3y=1....(2)

substitute y=4x-6 into equation 2

5x+3(4x-6)=1

5x+12x-18=1

17x=19

x=1.12

substitute x=1.12 into equation 1

y=4(1.12)-6

y=4.48-6

y=-1.52

x=1.12,y=1.52

You might be interested in

Ellie is 5 times as old as her sister Emma. In 2 years Ellie will be 3 times as Emma. How old is Emma now?

cricket20 [7]

Answer:

8 years old maybe.

5 0

3 years ago

Simplify to an expression of the form (a sin(θ)).<br> 2sin(/8)2cos(/8)

rjkz [21]

Answer:

Your expression equals $2 \sin(\frac{\pi}{4})$ assuming the problem was to simplify $2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$ to the form $a\sin(\theta)$ .

Step-by-step explanation:

$2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$

$2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})$

Let's use the following identity: $2\sin(A)\cos(A)=\sin(2A)$

$2\sin(2 \cdot \frac{\pi}{8})$

$2 \sin(\frac{\pi}{4})$ which is comparable to the form $a\sin(\theta)$ .

$a=2$

$\theta=\frac{\pi}{4}$

5 0

3 years ago

Max is building a scale model of the solar system. In Max's model, the distance from Earth to the sun is 1.2 feet, and the dista

olya-2409 [2.1K]

(d1/d2)×d3=d4
d1=real distance 93million miles of earth
d2=model distance of earth
d3=model distance of Venus
d4= real distance in million miles of Venus

(93/1.2)×0.86= 66.65 million miles

4 0

4 years ago

-2(10 + 6x) + 10 = -34 Please Explain Aswell!

avanturin [10]

I think it’s x = 2

-20-12x+10=-34
-10-12x=34
-34+10
-24 divided by 12 = -2

8 0

3 years ago

it takes planet folger 24 hours to complete a full rotation. it takes planet kuerig aproxximately 58 day, 15 hours and 30 muinit

kobusy [5.1K]

What exactly is the question you are asking?

6 0

3 years ago

Read 2 more answers