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fgiga [73]
3 years ago
11

Can someone help me with system of equations?

Mathematics
2 answers:
umka21 [38]3 years ago
7 0

#1)

Answer:

x=1 and y=12

Explanation:

y=5x+7

y=2x+10

This system should use substitution because the value of y is given in terms if x.

Substitution:

5x+7=2x+10

Solve:

3x=3

x=1

Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).

y=5x+7

y=5(1)+7

y=5+7

y=12

#2)

Answer:

x=-8 and y=2

Explanation:

y=2x+18

9y=-2x+2

This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.

Substitute:

9(2x+18)=-2x+2

Solve:

18x+162=-2x+2

20x=-160

x=-8

Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.

y=2x+18

Substitute:

y=2(-8)+18

Solve:

y=-16+18

y=2

lapo4ka [179]3 years ago
5 0

for the first set of equations, it’s easier to use substitution because both equations are already equal to <em>y. </em>

5x + 7 = 2x + 10

- 7 - 7

5x = 2x + 3

- 2x = - 2x

3x = 3

/3 /3

x = 1

now that you solved for x, plug 1 into an equation to find y

y = 5(1) + 7

y = 5 + 7

y = 12

so the answer is (1,12)

for the next one, use elimination because there is a positive/negative +-2x pair

y = 2x + 18

9y = -2x + 2

the 2x and the -2x will cancel out. add the other terms

10y = 20

divide both sides by 10

y = 10

now that we have the y term, plug it in to solve for x

10 = 2x + 18

-18 -18

-8 = 2x

-4 = x

the answer is (-4,10)

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ArbitrLikvidat [17]

Answer:

a) shown

b) h = [sqrt(17) - (5/2)t]²

c) t = 2sqrt(17)/5 seconds

Step-by-step explanation:

V = pi × r² × h

V = pi × 5² × h

V = 25pi × h

a) dV/dt = dV/dh × dh/dt

-5pi × sqrt(h) = 25pi × dh/dt

dh/dt = -sqrt(h)/5

b) 1/sqrt(h) .dh = -5. dt

2sqrt(h) = -5t + c

t = 0, h = 17

2sqrt(17) = 0 + c

c = 2sqrt(17)

2sqrt(h) = -5t + 2sqrt(17)

sqrt(h) = [2sqrt(17) - 5t] ÷ 2

sqrt(h) = sqrt(17) - (5/2)t

Square both sides

h = [sqrt(17) - (5/2)t]²

c) empty: h = 0

0 = [sqrt(17) - (5/2)t]²

sqrt(17) - (5/2)t = 0

(5/2)t = sqrt(17)

t = 2sqrt(17)/5

t = 1.64924225 seconds

sqrt: square root

5 0
3 years ago
Tonisha has a lemonade stand. She has 31 dollars in expenses and wants to make at least 66 dollars per day. If x represents the
MAVERICK [17]

Answer:

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Step-by-step explanation:

SHe wants to make a profit of 66, but with 31 bucks in expenses, this would need the revenue to be greater than 97 to cover the expenses and still make the profit

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One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.
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Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

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