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Scorpion4ik [409]
3 years ago
9

Solve the following proportions 3/x-3=8/2x+6 X=

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

21

Step-by-step explanation:

3/(x-3) = 8/(2x+6)

or, 3(2x+6) = 8(x-3)   ( by cross multiplication)

or, 6x + 18 = 8x - 24

or, 8x - 6x = 24 + 18

or, 2x = 42

or, x = 42/2

=21

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When given the equation y = 3/4x − 6 , Find the x intercept and y intercept.
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Answer:

the y-intercept is (0,-6)

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Step-by-step explanation:

<em>Solving for the y-intercept:</em>

Since the equation 'y=3/4x - 6' is in the 'y=mx + c' form (where m is the slope and c is the y-intercept):

3/4 is m (which is the slope)

-6 is c (which is the y-intercept)

<em>Solving for the x-intercept:</em>

When the line intersects with the x-axis, the y-value is 0. Hence, the coordinate is (x,0). Substituting this into 'y=3/4x - 6':

0 = 3/4x - 6

3/4x - 6 + 6 = 6

3/4x = 6

x = 4/3 * 6

= 8

Hence,

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the x-intercept is (8,0)

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