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3 years ago

Solve the system of linear equations by substitution. y=2x+5 y=3x−1

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Answer:

x = 6, y = 17

Step-by-step explanation:

since both equations are equal to the same variable (y), they are equal to each other.

2x + 5 = 3x - 1

-2x -2x

5 = x - 1

+1 +1

6 = x

y = 2(6) + 5

y = 12 + 5

y = 17

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Answer:

The system will be inconsistent.

Step-by-step explanation:

We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.

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3 years ago

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3 years ago

Ria can paint a room in 4 hours. Destiny can paint the same room in 6 hours. How long would it take Ria and Destiny to paint the

Lerok [7]

Time taken by Ria to paint a room = 4 hours

Time taken by Destiny to paint a room = 6 hours

If they work together, they complete 1 job. So,

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4 years ago

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What’s the value of this expression?<br><br> 6x4-(5+3) dividend by 2

solong [7]

Answer:

Step-by-step explanation:

If you use PEMDAS(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) you would take care of what's in the parentheses, so you would at 5 and 3 to get 8. Then you would multiply 6 and 4 to get 24, so far your equation looks like this 24 - 8 ÷ 2. You then divide 8 by 2 to get 4 then subtract 24 from 4 to get 20.

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3 years ago

Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

$f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})$

we know that $cos^2A+sin^2A=1$ , so we have that

$f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)$

$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

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3 years ago