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2 years ago

Solve this system of linear equations: 4x - 2y = 8

Mathematics

1 answer:

Mrac [35]2 years ago

6 0

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

Parenthesis

Exponents

Division

Multiplication

Addition

Subtraction

Step 1

4x - 2y = 8 ,y = 3/2x - 2 equation/Question

Step 2

4x-2y=8 Substitute

4x-2( 3 /2 x-2)=8

Step 3

x+4=8 simplify

x=4

Step 4

y= 3 /2 x-2 substitute 4 for x

y= 3 /2 (4)-2

Step 5

y= 3 /2 (4)-2 simplify

y=4

answer

x=4

y=4

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velikii [3]

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

$\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}$

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

$\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}$

Simplify the expressions/equations:

$\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}$

Isolate w-variable:

$\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}$

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

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1 year ago

A square is a rectangle with equal sides.<br> True or False?

Digiron [165]

<h3>Answer: True</h3>

Explanation:

A rectangle has all four angles that are 90 degrees. The side lengths may or may not all be the same length; however, we do know that the opposite sides are the same length.

A square is a special type of rectangle where all four sides are the same length and all angles are 90 degrees.

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2 years ago

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oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

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b: It is the cut-off point with the y axis

We have two points through which the line passes:

$(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)$

We found the slope:

$m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting we have:

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Thus, the equation is of the form:

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$3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1$

Finally, the equation is:

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ANswer:

$y = 2x + 1$

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3 years ago

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