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4 years ago

Solve the system of equations

1 answer:

4 0

Solve the following system:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

In the first equation, look to solve for x:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

1.8 x - 0.5 y = (9 x)/5 - y/2 and -6.4 = -32/5:
{(9 x)/5 - y/2 = -32/5

Add y/2 to both sides:
{(9 x)/5 = 1/10 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Multiply both sides by 5/9:
{x = 1/18 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Substitute x = 1/18 (5 y - 64) into the second equation:
{x = 1/18 (5 y - 64)
{2.1 y + 0.0333333 (5 y - 64) = 2.4

2.1 y + 0.0333333 (5 y - 64) = 2.1 y + (0.166667 y - 2.13333) = 2.26667 y - 2.13333:
{x = 1/18 (5 y - 64)
2.26667 y - 2.13333 = 2.4

In the second equation, look to solve for y:
{x = 1/18 (5 y - 64)
{2.26667 y - 2.13333 = 2.4

2.26667 y - 2.13333 = (34 y)/15 - 32/15 and 2.4 = 12/5:
(34 y)/15 - 32/15 = 12/5

Add 32/15 to both sides:
{x = 1/18 (5 y - 64)
{(34 y)/15 = 68/15

Multiply both sides by 15/34:
{x = 1/18 (5 y - 64)
y = 2

Substitute y = 2 into the first equation:

Answer: {x = -3, y = 2

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There are four consecutive integers. The sum of the first and third number is 140. what are the integers? please show work:)

marta [7]

69, 70, 71, and 72
69 and 71 are the first and third digits. 69+71=140

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3 years ago

Y = -2x - 5

lions [1.4K]

Answer:

A. One line

Step-by-step explanation:

Let rearrange the system of equations into explicit forms:

$y = -2\cdot x - 5$

$6\cdot x + 3\cdot y = -15$

$3\cdot y = -6\cdot x - 15$

$y = -2\cdot x - 5$

The second equation is identical to the first one, which means that there is just one line.

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3 years ago

application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line

Svetllana [295]

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Thus the required answers are:

i. Yes, line segment AB is the same as line segment CD.

ii. This implies that translation does not affect the length of a given line, but there is a change in its location.

Solid transformation is a method that requires a change in the length of sides of a given shape or a change in its orientation. Some types of transformation are reflection, translation, dilation, and rotation.

Dilation is a method that requires either increasing or decreasing the size of a given shape.
Translation is a process that involves moving every point on the shape in the same direction, and the same unit.
Reflection is a method that requires flipping a given shape over a given reference point or line.
Rotation requires turning a given shape at an angle about a given reference point.

Thus in the given question, translation would not affect the length of line segment AB, thus line segment AB and CD are the same. Also, A translated line segment would have the same length as its object, but at another location.

For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707

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2 years ago

Aubrey's office recycled a total of 20 kilograms of paper over 5 weeks. After 8 weeks, how many kilograms of paper will Aubrey's

erica [24]

Answer: 32 kilograms

Step-by-step explanation:

Cross multiply and divide.

20/5

x/8

The answer should be 32.

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4 years ago

Read 2 more answers

Solve the inequality. 2(4x – 3) ≥ –3(3x) + 5x? x ≥ 0.5 x ≥ 2 (–∞, 0.5]

marin [14]

2(4x - 3) > = -3(3x) + 5x
8x - 6 > = -9x + 5x
8x - 6 > = - 4x
-6 > = -4x - 8x
-6 > = - 12x
-6/-12 < = x
0.5 < = x or x > = 0.5 <==

** if u multiply/divide by a negative, the inequality sign changes

4 0

3 years ago

Read 2 more answers