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( 1/2 + x ) x 3/4 = 2/3
1/2 + x = 2/3 : 3/4
1/2 + x = 8/9
x = 8/9 - 1/2
x = 7/18
\(\left(\dfrac{1}{2}+x\right)\times\dfrac{3}{4}=\dfrac{2}{3}\)
\(\Leftrightarrow\dfrac{1}{2}+x=\dfrac{2}{3}:\dfrac{3}{4}\)
\(\Leftrightarrow\dfrac{1}{2}+x=\dfrac{8}{9}\)
\(\Leftrightarrow x=\dfrac{8}{9}-\dfrac{1}{2}\)
\(\Leftrightarrow x=\dfrac{7}{18}\)
a: =>x=3/7+3/5=15/35+21/35=36/35
b: =>x/35=4/5-5/7=28/35-25/35=3/35
=>x=3
c: =>x<3/4+8/4=11/4
=>\(x\in\left\{0;1;2;3\right\}\)
d: =>5/3<x<5/6+24/6=29/6
=>\(x\in\left\{2;3;4\right\}\)
e: =>x<10/12-9/12=1/12
=>x=0
f: =>2/3<x<12/6-5/6=7/6
=>x=1
`x xx1/4+x xx1/3=2`
`=> x xx (1/4+1/3)=2`
`=> x xx (3/12+4/12)=2`
`=> x xx 7/12=2`
`=> x=2:7/12`
`=>x=2xx12/7`
`=>x=24/7`
1.8100
2. 34 x 18 + 18 x 66
= 18 x ( 34 + 66)
= 18 x 100 = 1800
3. X × ( 8 + 12) = 160 + 20 × 12
= X x 20 = 160 + 240
= X x 20 = 400
X = 400 : 20 = 20
4. X x 12 - X x 2 = 2020
(12 - 2) x X = 2020
10 x X = 2020
X = 2020 : 10 = 202
\(\frac{2}{3}x\frac{4}{y}=\frac{4}{45}:\frac{1}{5}\)\(=\frac{4}{15}\)
\(\frac{4}{y}=\frac{4}{15}:\frac{2}{3}\)\(=\frac{2}{5}\)
y=4:\(\frac{2}{5}\) y=10
\(\frac{3}{4}x\frac{y}{5}=\frac{15}{4}\)
\(\frac{y}{5}=\frac{15}{4}:\frac{3}{4}=5\)
y=5x5=25