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Amiraneli [1.4K]
3 years ago
6

Given: 6g+4a=7a prove: g/a=1/2

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

Step-by-step explanation:

6g + 4a = 7a

⇔ 6g = 7a - 4a

⇔ 6g = 3a

Divide both side by 6a

⇒ \frac{6g}{6a} =  \frac{3a}{6a} ⇔ \frac{g}{a} = \frac{1}{2}

I hope this will help you.

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Solve 2y - 5 over 3 = 4y - 1 over 2
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PLS HELP WILL GIVE BRAINLIEST :)
Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0
2 years ago
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