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Katyanochek1 [597]
3 years ago
15

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

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
8 0
I will try to solve your system of equations.<span><span>y=<span>x−8</span></span>;<span><span><span>2x</span>+<span>3y</span></span>=1</span></span>Step: Solve<span>y=<span>x−8</span></span>for y:Step: Substitute <span>x−8 </span>for y in <span><span><span><span>2x</span>+<span>3 y</span></span>=1</span>:</span><span><span><span>2x</span>+<span>3y</span></span>=1</span><span><span><span>2x</span>+<span>3<span>(<span>x−8</span>)</span></span></span>=1</span><span><span><span>5x</span>−24</span>=1   </span>(Simplify both sides of the equation)<span><span><span><span>5x</span>−24</span>+24</span>=<span>1+24 </span></span>(Add 24 to both sides)<span><span>5x</span>=25</span><span><span><span>5x</span>5</span>=<span>255 </span></span>(Divide both sides by 5)<span>x=5</span>Step: Substitute 5 for x in <span><span>y=<span>x−8</span></span>:</span><span>y=<span>x−8</span></span><span>y=<span>5−8</span></span><span>y=<span>−3</span></span>(Simplify both sides of the equation)Answer:<span><span>y=<span>−<span><span>3<span> and </span></span>x</span></span></span>=<span>5</span></span>
QveST [7]3 years ago
7 0
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
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√89

Step-by-step explanation:

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8 0
3 years ago
1) 2/9 + 5/9 =
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Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

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Area of the top = area of the base = 64.5cm

Area of the 6 side rectangles = 6 x 5 x 11 = 330 cm

Total surface area = 64.5 + 64. 5+ 330 = 459 cm²

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Answer: Total surface area = 459 cm²
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Answer:

See attached image for the requested graph

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