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worty [1.4K]
4 years ago
9

Solve each system of equations using substitution. Show all work.

Mathematics
1 answer:
Crank4 years ago
7 0
First make an equaiton equal to only 1 variable 1. x-y=2 add y to both sides x=y+2 sub 4(y+2)-3y=11 4y+8-3y=11 y+8=11 y=3 sub x=y+2 x=3+2 x=5 (5,3) 2. x+2y=7 subtract 2y x=7-2y sub -2(7-2y)+3y=14 -14+4y+3y=14 7y-14=14 7y=28 y=4 sub x=7-2y x=7-2(4) x=7-8 x=-1 (-1,4) 3. 6x-y=-4 subtract 6x -y=-4-6x multily -1 y=4+6x sub 2x+2(4+6x)=15 2x+8+12x=15 14x+8=15 14x=7 x=1/2 sub y=4+6x y=4+6(1/2) y=4+3 y=7 (1/2,7) 1. (5,3) 2. (-1,4) 3. (1/2,7)
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Darya [45]

Answer:

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Step-by-step explanation:

Let the linear function f(x) is given by f(x) = ax + b where a and b are unknown constants.

Given that f(0) = -1 and f(2) = -5

Hence, a(0) + b = - 1, ⇒ b = - 1

Again from the condition given

a(2) + b = -5, ⇒ 2a - 1 = - 5, ⇒ 2a = - 4, ⇒ a = - 2.

Therefore, the linear function is f(x) = - 2x - 1 (Answer)

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3 years ago
The sum of nine consecutive positive integers is 99. what is the largest of these integers
Oksana_A [137]

Answer:

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6 0
3 years ago
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The length of a rectangle is 12 in. more than its width. The perimeter is 64 in. Determine the length of the rectangle in inches
Margarita [4]
P = 2(L+W)
L = 12+W
P = 64 inches
64 = 2(12+W+W)
64 = 2(12+2W)
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If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake?
kvasek [131]

Answer:

Im guessing you meant it takes 1/3 cups of flour to make 1/4 of a cake not "14"

Step-by-step explanation:

in that case you would do

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or 1/3*4

which would be 4/3

or

1 1/3

3 0
3 years ago
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andrey2020 [161]

Answer:

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Step-by-step explanation:

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this can be simplified to 8/25 if you divide the top and bottom by 4

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