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babunello [35]
3 years ago
13

Use substitution to find the solution to the system of equations. 5x+7y=-29 y=x+1

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

Answer:

(x, y) = (- 3, - 2)

Step-by-step explanation:

given the 2 equations

5x + 7y = - 29 → (1)

y = x + 1 → (2)

substitute y = x + 1 into (1)

5x + 7(x + 1) = - 29 ( distribute and simplify left side )

5x + 7x + 7 = - 29

12x + 7 = - 29 ( subtract 7 from both sides )

12x = - 36 ( divide both sides by 12 )

x = - 3

substitute x = - 3 into (2)

y = - 3 + 1 = - 2

solution is (- 3, - 2 )


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kompoz [17]

Answer:

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Step-by-step explanation:

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Which one is the right answer
Jobisdone [24]

Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.

Step-by-step explanation:

A function <em>g</em> is the inverse of function <em>f</em> if

<em>f(g(x)) = g(f(x))=x</em>

Given: f(x)=  x+4 , g(x) = x-4

f(g(x)) = f(x+4) = (x-4)+4

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i.e. f(g(x)) =x

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i.e. g(f(x))=x

Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.

8 0
3 years ago
If the freshman class of 63 students has 11 more boys than girls, determine how many of each are in the class.g 1
torisob [31]
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B = G + 11

G + 11 + G = 63
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harkovskaia [24]

Answer:

an infinite number of solutions

Step-by-step explanation:

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left side = right side  TRUE because -3x-17 is the same as -17-3x

we can rearrange  the the equation

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Since this equation is <u>always true ( for any number ) </u>we have <u>an infinite number of solutions</u> (since there are is an infinity of numbers.)

8 0
3 years ago
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