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2 years ago

5

Solve for the value of x. Show each of your steps. 7y=8x - 14 ; y= 6

2 answers:

svetlana [45]2 years ago

4 0

When y=6, then in equation 7y=8x-14 we write 6 instead of y:
7×6=8x-14
42=8x -14
8x-14=42 (now we add 14 to both sides of equation)
8x=56 (now we divide by 8 both sides of equation)
x=7

Answer: x=7

pashok25 [27]2 years ago

4 0

7(6)=8×-14
42=8×-14
42+14=8×
56/8=8×/8
×=7

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GEOMETRY<br><br> *image is attached above*

Keith_Richards [23]

Answer:

(-9.5, -4)

Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

$( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1})$ .

Given two endpoints of the original segment

→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]

Along with the ratio of the two partitioned segments

→ 1 to 3 = 1:3 [a:b]

Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

$( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1})$ . →

$( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8))$ →

$( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8))$ →

$( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8))$ →

$( (\frac{1}{2}) + (-10), (4) + (-8))$ →

$( (-\frac{19}{2}), (-4))$ →

$( -\frac{19}{2}, -4)$ →

* $( -9.5, -4)$ *

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tamaranim1 [39]

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gavmur [86]

Answer:

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3 years ago

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xz_007 [3.2K]

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Answer:

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