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Shalnov [3]
3 years ago
9

Solve the system by either substitution or elimination 3x-5y=21 2x+y=1

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0
Hello

3x - 5y = 21
2x + y = 1

We need to solve 2x+y=1 for y
So now we have, y = -2x +1

Substitute -2x +1 for y in 3x-5y = 21
3x - 5y = 21
3x -5 (-2x+1)=21
3x + 10x -5=  21
13x -5 = 21
13x = 21+5
13x = 26
x= 26/13
x= 2 
Now we have the value of x, with that we can find the value for y
let's do that by substitute 2 for x in y = -2x +1
y = -2x +1
y= -2(2) +1
y= -4 +1
y= -3

Final answer : Y= -3 and x= 2

I hope that's help !
 
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It’s a line

Step-by-step explanation:

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3 years ago
Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG
stealth61 [152]

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}

Substitute the value of x in the given value of GH,

\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}

And the total length FH is,

\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}

Hence, the lengths are,

\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}

8 0
1 year ago
The production cost for a t-shirt printing company is a function of the number of t-shirts that are printed, t. The function tha
uranmaximum [27]

Answer:

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

f(t)=0.1 t^2-6t+100

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, a=1, b= - 60 and c=600

t=\frac{-(-60)\pm\sqrt{(-60)^2-4.1.600}}{2.1}

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 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

7 0
4 years ago
Help i dont understand this
Igoryamba
I’m not extremely good at math but I think you need to make -x-y=1 into y=mx+b form and then solve your new equation!
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