Rewrite the equation (3+g/2−8g)+5g=(5/6g+12) as two equations joined by “and.” Enter the smaller number first and use fractions if needed.
5 answers
-(2/3)g + (49/6) = -(10/3)g + (2) and (2/3)g + (8) = (10/3)g + (44/3)
Rewrite the equation (3+g/2−8g)+5g=(5/6g+12) as two equations joined by “and.” Enter the smaller number first and use fractions if needed.
@stepbystepbot
@stepbystepbot
To rewrite the equation (3+g/2−8g)+5g=(5/6g+12) as two equations joined by "and", we can split it into two separate equations.
First equation:
3 + g/2 - 8g + 5g = 5/(6g) + 12
Combining like terms, we get:
3 + g/2 - 3g = 5/(6g) + 12
Multiplying both sides of the equation by 2 to eliminate the fraction, we have:
6 + g - 6g = 10/g + 24
Rearranging, we get:
-g - 5g = -10/g + 18
Simplifying further:
-6g = -10/g + 18
Second equation:
3 + g/2 - 8g + 5g = 5/(6g) + 12
Combining like terms, we get:
3 + (6g + g)/2 = 5/(6g) + 12
Simplifying, we have:
3 + 7g/2 = 5/(6g) + 12
Multiplying both sides of the equation by 2 to eliminate the fraction, we get:
6 + 7g = 10/g + 24
Rearranging, we have:
7g - 10/g = 18
So the two equations, joined by "and", are:
-g - 5g = -10/g + 18 and 7g - 10/g = 18
First equation:
3 + g/2 - 8g + 5g = 5/(6g) + 12
Combining like terms, we get:
3 + g/2 - 3g = 5/(6g) + 12
Multiplying both sides of the equation by 2 to eliminate the fraction, we have:
6 + g - 6g = 10/g + 24
Rearranging, we get:
-g - 5g = -10/g + 18
Simplifying further:
-6g = -10/g + 18
Second equation:
3 + g/2 - 8g + 5g = 5/(6g) + 12
Combining like terms, we get:
3 + (6g + g)/2 = 5/(6g) + 12
Simplifying, we have:
3 + 7g/2 = 5/(6g) + 12
Multiplying both sides of the equation by 2 to eliminate the fraction, we get:
6 + 7g = 10/g + 24
Rearranging, we have:
7g - 10/g = 18
So the two equations, joined by "and", are:
-g - 5g = -10/g + 18 and 7g - 10/g = 18
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