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3 years ago

Solve: X + y = 4 -5x - 6y = -18

Mathematics

2 answers:

OLga [1]3 years ago

7 0

Answer:

x = 6 and y = -2

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 5 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

x + y = 4

-5x - 6y = -18

→ We have to multiply the top equation by -6 so the y coefficients are the same

-6x - 6y = -24

-5x - 6y = -18

→ Minus the equations

-x = -6

x = 6

→ Substitute x = 6 back into x + y = 4

6 + y = 4

y = -2

So the solutions are y = -2 and x = 6

LiRa [457]3 years ago

4 0

Answer: x = -5, y = 9

Step-by-step explanation:

The solution to the system of equations can be represented as a point.

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The rule Rx-axis o is applied to the point (-3,-2). Where is the image in the coordinate

Nastasia [14]

Answer:

$Image = (-3,2)$

Step-by-step explanation:

Given

$Point = (-3,-2)$

Transformation = Rx-axis

Required

Determine the image

When rule Rx-axis is applied to a point (x,y),

The new coordinate point is (x,-y)

In other words, the y coordinate is negated

So, when rule Rx-axis is applied to

$Point = (-3,-2)$

The image of the point is

$Image = (-3,-(-2))$

$Image = (-3,2)$

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2 years ago

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inna [77]

Answer:

Step-by-step explanation:

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4 0

3 years ago

Need help asap the graphs below have the same shape. what is the equation of the red graph?

exis [7]

Answer:

The highlighted one is correct

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Step-by-step explanation:

3 0

2 years ago

A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28

anastassius [24]

Answer:

there are 9 quarters and 19 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters

-dimes: 0.1x

-quarters: 0.25y

-the total amount of coins : x + y = 28

=> x = 28 - y

We have the equation:

0.25y + 0.1x = 4.15

0.25y + 0.1(28 - y) = 4.15

0.25y + 2.8 - 0.1y = 4.15

0.15y = 1.35

y = 9

x = 28 - y

= 28 - 9

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3 0

3 years ago

Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6

love history [14]

<h3> The greatest number is $1.997 \times 10^2$ </h3>

Solution:

Given that the numbers are:

$2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}$

We have to find the number that is greatest

Convert the numbers to decimal

$2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289$

$1.997 \times 10^2 = 199.7$

$8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089$

$5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005$

We can clearly see that, 199.7 is greatest number

Thus the greatest number is $1.997 \times 10^2$

3 0

3 years ago

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