2 years ago

- ( x - 1 ) = -4x - 2

Mathematics

1 answer:

7nadin3 [17]2 years ago

3 0

Answer:

x=-1

Step-by-step explanation:

1. Remove the parenthesis

-x + 1 = -4x - 2

2. Get x alone

-x + 1 = -4x - 2

+1x +1x

1=-3x - 2

+2 +2

3=-3x -3x/-3= x 3/-3 = -1

x=-1

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Andreas93 [3]

If you subtract 2 from both sides

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2 years ago

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irina [24]

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HELP IM FAILING MATH OOOOFFFF

meriva

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points $(-4,\ -1)$ and $\left(\dfrac{1}{2},\ 3\right)$ .

Substitute:

$m=\dfrac{3-(-1)}{\frac{1}{2}-(-4)}=\dfrac{4}{4\frac{1}{2}}=\dfrac{4}{\frac{9}{2}}=4\cdot\dfrac{2}{9}=\dfrac{8}{9}\\\\y-(-1)=\dfrac{8}{9}(x-(-4))\\\\y+1=\dfrac{8}{9}(x+4)$

The standard form: Ax + By = C

$y+1=\dfrac{8}{9}(x+4)\qquad\text{multiply both sides by 9}\\\\9y+9=8(x+4)\qquad\text{use distributive property}\\\\9y+9=8x+32\qquad\text{subtract 9 from both sides}\\\\9y=8x+23\qquad\text{subtract 8x from both sides}\\\\-8x+9y=23\qquad\text{change the signs}\\\\\boxed{8x-9y=23}$