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3 years ago

Solve the following system of equations: x - 2y = 14 x + 3y = 9

1 answer:

3 0

Solve your system of equations step by step.

x−2y=14;x+3y=9

Solve x−2y=14 for x:

x−2y+2y=14+2y (Add 2y to both sides)

x=2y+14

Substitute (2y+14) for x in x+3y=9:

x+3y=9

2y+14+3y=9

5y+14=9(Simplify both sides of the equation)

5y+14+−14=9+−14 (Add -14 to both sides)

5y=−5

5y5=−55 (Divide both sides by 5)

y=−1

Substitute (−1) for y in x=2y+14:

x=2y+14

x=(2)(−1)+14

x=12(Simplify both sides of the equation)

So,

y=-1
x=12

Answer is C)

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Solve for the variable in the following equation: 1 / 6c + 1 / 3 = - 2

tankabanditka [31]

Answer: C. C=-14

Step-by-step explanation:

Given

(1/6)c+1/3=-2

Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)

6[(1/6)c+1/3]=(-2)(6)

c+2=-12

Subtract 2 on both sides

c+2-2=-12-2

c=-14

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago

Read 2 more answers

How to solve 2x(x+3)=2x^2+15

Travka [436]

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

$\boxed{x=\frac{5}{2} }$

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

Read 2 more answers

In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system

In-s [12.5K]

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 = 0.9 ; H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for α= 0.05

We use the test statistic

z= x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

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3 years ago

Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.

oee [108]

Answer:

she is left with 4.67 LB of flour.

Step-by-step explanation:

7 divided by 3 = 2.3333333

2.3333333 x 2 = 4.67

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2 years ago

Find the distributive property to factor out the greatest common factor of 55 + 35

Ad libitum [116K]

Answer:

Step-by-step explanation:

55 = 5 · 11

35 = 5 · 7

GCF(55, 35) = 5

The distributive property a(b + c) = ab + ac

Therefore

55 + 35 = 5 · 11 + 5 · 7 = 5 · (11 + 7)

8 0

2 years ago