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3 years ago

Solve the system of equations -5x – 2y = 13 and 3x-y = 12 by combining the equations

Mathematics

1 answer:

Ne4ueva [31]3 years ago

4 0

Answer:

x=1 y =15

Step-by-step explanation:

hopefully correct

-5x-2y=13 (i)

3x-y=12

-y=12-3x

y=-12+3x (ii)

substitute ii into i

-5x-2(-12+3x)=13

-5x +24-6x=13

-11x=-11

x=1

substitute x into ii

y=-12+3(1)

y=15

. . x=1 and y =15

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asambeis [7]

2-1=1
y-y1=m(x-x1)
y-1=1(x-2)

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3 years ago

Read 2 more answers

The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes an

pochemuha

The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.

<h3>What is a quadrilateral?</h3>

It is a quadrilateral with four sides. The total interior angle is 360 degrees.

The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.

Then the slope of each line of the quadrilateral will be

The slope of the line PO will be

PO = (8-6)/(-5+9)

PO = 2/4

PO = 0.5

The slope of the line ON will be

ON = (8-4)/(-5+3)

ON = 4/(-2)

ON = -2

The slope of the line MN will be

MN = (4-2)/(-3+7)

MN = 2/4

MN = 0.5

The slope of the line MP will be

MP = (6-2)/(-9+7)

MP = 4/(-2)

MP = -2

Then each length of the quadrilateral will be

The length of PO will be

PO = √[(-9+5)² + (6-8)²]

PO = 4.47

The length of ON will be

ON = √[(-5+3)² + (8-4)²]

ON = 4.47

The length of MN will be

MN = √[(-3+7)² + (4-2)²]

MN = 4.47

The length of MP will be

MP = √[(-9+7)² + (6-2)²]

MP = 4.47

More about the quadrilateral link is given below.

brainly.com/question/13805601

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2 years ago

At 363 ft tall, the Saturn V rocket was the largest rocket ever sent into space. Stage 1 of the rocket, built by Boeing,

Nataly_w [17]

Answer:

f'(t) = -15 tons/second

Step-by-step explanation:

Using the power rule, the derivative of f(t) is ...

f'(t) = -15 . . . tons/second

f(t) is the fuel weight, so f'(t) is the rate at which fuel weight is changing. The rocket is using fuel at the rate of 15 tons per second.

_____

Comment on units

The units of the equation for f(t) are ...

f(t) = 2520 tons - (15 tons/second)(t seconds)

The derivative is the coefficient of (t seconds), so is (-15 tons/second).

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3 years ago

Mark recently moved to a new state. During his first month he visited five state parks. Each month after he visited two more. Ca

Zina [86]

I think it’s 5 7 9 11

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4 years ago

Read 2 more answers

9x-y=5 7x-6y=5 Solve the system by the substitution method

qwelly [4]

9x - y = 5
7x - 6y = 5

Solve both equations for one variable. I'll solve for y.

9x - y = 5 Subtract 9x from both sides
-y = -9x + 5 Divide both sides by -1
y = 9x - 5

7x - 6y = 5 Subtract 7x from both sides
-6y = -7x + 5 Divide both sides by -6
y = $\frac{7}{6}$ x - $\frac{5}{6}$

Since both equations equal y, you can set them equal to each other and solve for x.

9x - 5 = $\frac{7}{6}$ x - $\frac{5}{6}$ Multiply both sides by 6 to eliminate the fractions
54x - 30 = 7x - 5 Subtract 7x from both sides
47x - 30 = -5 Add 30 to both sides
47x = 25 Divide both sides by 47
x = $\frac{25}{47}$

Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.

9x - y = 5 Plug in the x-value
9( $\frac{25}{47}$ ) - y = 5 Multiply
 $\frac{225}{47}$ - y = 5 Subtract $\frac{225}{47}$ from both sides
-y = 0.21276595744 (I had to convert it to a decimal) Divide both sides by -1
y = -0.21276595744

So, the answer to the system is (0.53191489361, -0.21276595744)

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4 years ago