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3 years ago

3a-4b=12 what does a solve?

Mathematics

1 answer:

leonid [27]3 years ago

8 0

Answer:

a = 4 + -1.333333333b

Step-by-step explanation:

Simplifying

3a + 4b = 12

Solving

3a + 4b = 12

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4b' to each side of the equation.

3a + 4b + -4b = 12 + -4b

Combine like terms: 4b + -4b = 0

3a + 0 = 12 + -4b

3a = 12 + -4b

Divide each side by '3'.

a = 4 + -1.333333333b

Simplifying

a = 4 + -1.333333333b

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3 years ago

Read 2 more answers

This is due tomorrow, so please help and show step by step

Softa [21]

Answer:

slope = 3/2
y-intercept = 3
x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

12x -8y = -24 . . . . . given

-8y = -12x -24 . . . . .subtract 12x

y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

slope = 3/2

y-intercept = 3

The x-intercept is found fairly easily from the original equation by setting y=0:

12x = -24

x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

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3 years ago