2. Solve the following by
cross multiplication
Answers
Step-by-step explanation:
1) x/2 -1/4 = x/3 + 1/2
x/2-x/3 = 1/2+1/4
3x+2x/6 = 2+1/4
5x/6=3/4
Cross multiplying:
20x=18
x=18/20
x=9/10
2)x-4/7 - x+4/5 = x+3/7
5x-20-7x-28/35 = x+3/7
-(2x+48)/35=x+3/7
Cross multiplying:
-14x-336=35x+105
49x= -231
x=-231/49
3)5x+2/2x+3 = 12/7
Cross multiplying:
35x+14=24x+36
11x=22
x=2
4)x+7/3x+16 = 4/7
7x+49=12x+64
5x= -15
x=-3
6)x/2+x/3-x/6=8
3x+2x-x/6=8
4x/6=8
cross multiplying:
4x=48
x=12
7)2x/3 - x/5 = 11 2/3
10x-3x/15 = 35/3
7x/15=35/3
cross multiplying:
21x=35*15
x=35*15/21
x=25
9)x/2 -4/5+x/5 +3x/10 =1/5
x/2+x/5+3x/10=1/5+4/5
5x+2x+3x/10=1
10x/10=1
x=1
10)8p-5/7p+1 = -2/4
8p-5/7p+1 = -1/2
16p-10=-7p-1
23p=9
p=9/23
11)x+5/6 -x+1/9 =x+3/4
9x+45-6x-6/54=x+3/4
3x+39/54=x+3/4
x+13/18=x+3/4
cross multiplying:
4x+52=18x+54
14x=-2
x= -1/7
12)x/10 +x+1/17 + x+2/26 = 10
221x+130x+130+85x+170/2210=10
436x+300/2210=10
cross multiplying:
436x+300=22100
436x=21800
x=21800/436
x=5450/109
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