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2 years ago

I need the steps and solution -10x + 5y = 10 x - 5y = -28

Mathematics

1 answer:

natta225 [31]2 years ago

6 0

−10x+5y=10

x−5y=−28

Rewrite equations:

x−5y=−28

−10x+5y=10

Step: Solve:

x−5y=−28

x−5y+5y=−28+5y(Add 5y to both sides)

x=5y−28

Step: Substitute:

−10x+5y=10

−10(5y−28)+5y=10

−45y+280=10(Simplify both sides of the equation)

−45y+280+−280=10+−280(Add -280 to both sides)

−45y=−270

−45y

−45

−270

−45

(Divide both sides by -45)

y=6

Step: Substitute:

x=5y−28

x=(5)(6)−28

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=6

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Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

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2 years ago

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Travka [436]

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2 years ago

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2 years ago

Read 2 more answers

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In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.

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In order to complete this operation, you need to give them common denominators.

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2 years ago

I need the steps and solution -10x + 5y = 10 x - 5y = -28​

I need the steps and solution -10x + 5y = 10 x - 5y = -28