解方程。⑴5/9+Χ=31/3⑵4/5-Χ=7/15⑶Χ×7/8=1/2⑷Χ+1/3Χ=28
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解方程。⑴5/9+Χ=31/3⑵4/5-Χ=7/15⑶Χ×7/8=1/2⑷Χ+1/3Χ=28
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(1) To solve this equation, we need to isolate the variable x.
First, let's get rid of the fraction on the left side by multiplying every term by the denominator, which is 9:
5/9 * 9 + x * 9 = 31/3 * 9
After simplifying, we have:
5 + 9x = 93
Next, let's isolate x by subtracting 5 from both sides:
5 + 9x - 5 = 93 - 5
Simplifying further, we get:
9x = 88
Finally, divide both sides by 9 to solve for x:
9x/9 = 88/9
Thus, the solution is:
x = 88/9
(2) To solve this equation, we need to isolate the variable x.
First, let's get rid of the fraction on the left side by multiplying every term by the denominator, which is 5:
4/5 * 5 - x * 5 = 7/15 * 5
After simplifying, we have:
4 - 5x = 7/3
Next, let's isolate x by subtracting 4 from both sides:
4 - 4 - 5x = 7/3 - 4
Simplifying further, we get:
-5x = 7/3 - 12/3
-5x = -5/3
Finally, divide both sides by -5 to solve for x:
-5x/-5 = -5/3 / -5
x = 1/3
Thus, the solution is:
x = 1/3
(3) To solve this equation, we need to isolate the variable x.
First, let's get rid of the fraction on the left side by multiplying every term by the denominator, which is 8:
x * 7/8 * 8 = 1/2 * 8
After simplifying, we have:
7x = 4
Next, divide both sides by 7 to solve for x:
7x/7 = 4/7
Thus, the solution is:
x = 4/7
(4) To solve this equation, we need to isolate the variable x.
First, let's combine like terms on the left side by adding x and 1/3x:
(1 + 1/3)x = 28
Next, let's simplify further:
(4/3)x = 28
Finally, divide both sides by 4/3 to solve for x:
(4/3)x / (4/3) = 28 / (4/3)
Thus, the solution is:
x = 21
總結
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