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4 years ago

Solve the system by elimination state whether the system has one solution infinite solutions or no solution x+3y=-5 4x-y=6

Mathematics

1 answer:

STatiana [176]4 years ago

8 0

Answer:

one solution, i.e x = 1 and y = -2

Step-by-step explanation:

Given two equations :

x+3y = -5 -------(1)

4x - y =6 ---------(2)

Using elimination method,

Multiply equation (2) by 3 and add it to equation (1)

We get,

x + 3y + {(4x - y)×3} = -5 +(6×3)

x + 12x + 3y - 3y = -5 + 18

13x = 13

x = 13/13 = 1

And corresponding y will be:

x + 3y = -5 , Plug x =1 to get y

1 + 3y = -5

3y = -5 - 1

y = -6/3 = -2

Hence we got only one solution, i.e x =1 and y = -2

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Sebastian solves each inequality in the compound inequality -7 < 4x -5 less than or equal to 3. He gets the solution x greate

rosijanka [135]

The solution for the compound inequality is: $-0.5 < x \leq 2$

The graph is given at the end of the question.

--------------------------------

The compound inequality is given by:

$-7 < 4x - 5 \leq 3$

Thus, we need:

$4x - 5 > -7$ and $4x - 5 \leq 3$

That is, values of x that respect both these conditions.

--------------------------------

For the first inequality:

$4x - 5 > -7$

$4x > -2$

$x > -\frac{1}{2}$

$x > -0.5$

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For the second inequality:

$4x - 5 \leq 3$

$4x \leq 8$

$x \leq \frac{8}{4}$

$x \leq 2$

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Considering that both conditions are needed, the solution is: $-0.5 < x \leq 2$
The graph on the number line is given next.

A similar problem is given at brainly.com/question/24009950

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3 years ago

Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12

Zinaida [17]

Answer:

true

Step-by-step explanation:

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3 years ago

You just finished paving a rectangular driveway measuring 75 feet by 20 feet. You charged the customer $1,000. After deducting t

Anettt [7]

Answer:

The missing information is attached in the picture below.

The company made $292.5 dollars in profit.

Step-by-step explanation:

Using the information provided by the table, we can calculate how much money was spent

1. gravel

12 and a half cubic yards * $15 = $187.5

2. tar/sealant

$0.15 per square foot * (75*20 ft^2) = $225

3. labor

$10 per hour * 25 hours = $250

4. insurance

fixed $45

We add all the expenses together

$(187.5 + 225 + 250 + 45) = $707.5

The profit will be equal to

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Step-by-step explanation:

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3 years ago

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julsineya [31]

Answer:

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Step-by-step explanation:

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3 years ago

L.C.Mof 16, 28, 42,60

guajiro [1.7K]

Answer:

1680

Step-by-step explanation:

First do the prime factorization:

16=2x2x2x2

28=2x2x7

42=2x3x7

60=2x2x3x5

To find least common multiple (LCM), write down all prime factors of one of the number and multiply by factors from other numbers that was not in that number:

LCM=2x2x3x5x7x2x2=1680

8 0

2 years ago