Х+5y = 3
3х - 2y = -8

Answers

Answer 1

Answer: X equals -2 and y equals 1

Answer 2

Answer: Solve for X: x+5y=3

Subtract 5y from both sides: x=3−5y

Substitute
x=3−5y into 3x−2y=−8

Start with the original equation: 3x−2y=−8

Let x=3−5y: 3(3−5y)−2y=−8

Simplify: 9−17y=−8

Solve for y in 9−17y=−8: y=1

Substitute y=1 into , x=3−5y : x=-2

X=-2
Y=1

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Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.ax + bx - c = 0

Answers

$ax+bx-c=0 \ \ \ |+c \nax+bx=c \n(a+b)x=c \ \ \ |/ (a+b), a+b \not= 0 \n\boxed{x=(c)/(a+b)}$

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In a certain café, all sandwiches are priced the same. A customer ordered 3 sandwiches and 2 drinks for $14.70. Another customer bought 2 sandwiches and 4 drinks for $13.30. Find the cost of one sandwich and the cost of one drink, if the cost of each drink is the same price. a) Sandwich: $3.50, Drink: $2.35 b) Sandwich: $2.35, Drink: $3.50 c) Sandwich: $3.25, Drink: $2.10 d) Sandwich: $2.10, Drink: $3.25

Answers

Answer:

Step-by-step explanation:

Let's say the cost of one sandwich is "s" and the cost of one drink is "d". From the first customer's order, we know that 3 sandwiches and 2 drinks cost $14.70. So we can write the equation: 3s + 2d = 14.70 From the second customer's order, we know that 2 sandwiches and 4 drinks cost $13.30. So we can write the equation: 2s + 4d = 13.30 Now, we can solve this system of equations to find the values of "s" and "d". Multiplying the first equation by 2 and the second equation by 3, we get: 6s + 4d = 29.40 6s + 12d = 39.90 Subtracting the first equation from the second equation, we get: 6s + 12d - (6s + 4d) = 39.90 - 29.40 Simplifying, we have: 8d = 10.50 Dividing both sides by 8, we find: d = 1.3125 Now we can substitute this value back into either of the original equations to find the value of "s". Let's use the first equation: 3s + 2(1.3125) = 14.70 Simplifying, we have: 3s + 2.625 = 14.70 Subtracting 2.625 from both sides, we find: 3s = 12.075 Dividing both sides by 3, we get: s = 4.025 So the cost of one sandwich is approximately $4.03 and the cost of one drink is approximately $1.31. Therefore, the correct answer is: c) Sandwich: $4.03, Drink: $1.31

Final answer:

Option (a), with the cost of a sandwich as $3.50 and a drink as $2.35, is the correct solution for this algebraic problem. This conclusion was reached by forming two equations from the information given and solving this system of equations.

Explanation:

This is an algebra problem where we set up two equations to solve for two variables. Let's denote the cost of a sandwich as S and the cost of a drink as D. The first equation derived from the first customer's purchase would be 3S + 2D = 14.70. The second equation from the second customer's purchase would be 2S + 4D = 13.30. To solve these equations, we could multiply the first equation by 2 and the second equation by 3 then subtract the second equation from the first. This will provide the cost of a Sandwich which can then be substituted back into either original equation to get the cost of a Drink. Once you solve this system, the answer appears as option (a): Sandwich $3.50 and Drink $2.35.

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How many solutions does the equation 6s – 3s – 9 = –2 + 3 have? Only one
None
Two
Infinitely many

Answers

The answer to this question is Infinitely many

only one the answer is A

What is the length of a diagonal of a rectangle that is 30 centimeters long and 16 cm. wide?

Answers

length squared + width squared = Diagonal squared
Length squared = 900cm
Width squared = 256cm
total = 1156
Therefore Diagonal squared = 1156
Diagonal = 34cm

Which amount is less 250 mL or 250 L

Answers

To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.

Which of the following represents the factored form of f(x) = x^3 − 64x?f(x) = x(x + 8)(x − 8)
f(x) = (x − 8)(x + 8)
f(x) = x(x − 8)^2
f(x) = x(x^2 − 8)