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3 years ago

3(x + 5) = 7x - 13

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

Distributive

Step-by-step explanation:

3(x + 5) = 7x - 13 given

3x + 15 = 7x - 13 distribute

- 3x -3x Subtraction property of equality

15= 7x - 13

+13 +13 Addition property of equality

28 = 7x

7 7 division property of equality

4=x simplify

x=4

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

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_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

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I choose point (( a )) to put in the equation.

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$y - 7 = - 2x + 0$

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Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

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