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What is the value of z for the linear equation (z+6)/4 + (z-3)/5 = (5z-4)/8 ?
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8
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4
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3
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7
That's Correct!
It's Wrong!
To find the value of z, we need to simplify the equation. First, we can find a common denominator of 40 for all the fractions. Then, we can cross multiply and combine like terms. After simplifying the equation, we get 8z + 48 + 8z - 24 = 25z - 20. By combining like terms, we get 16z + 24 = 25z - 20. By moving the variables to one side and the constants to the other side, we get 9z = 44. Finally, by dividing both sides by 9, we find that z = 44/9, which is approximately 4.89. Therefore, the correct answer is 8.
