You can put this solution on YOUR website! 5 3
____ + ______ =2/3
x – 1 7X – 7
[5(7X-7)+3(X-1)]/(X-1)(7X-7)=2/3
[35X-35+3X-3]/(7X^2-14X+7)=2/3
2(7X^2-14X+7)=3(38X-38)
14X^2-28X+14=114X-114
14X^2-28X-114X+14+114=0
14X^2-142X+128=0
2(7X^2-71X+64)=0
2(7X-64)(X-1)=0
7X-64=0
7X=64
X=64/7
X=9.1428 ANSWER.
X-1=0
X=1 NOT A VALID ANSWER BECAUSE THIS WOULD REQUIRE DIVIDING BY 0.
PROOF
5/(9.1428-1)+3/(7*9.1428-7)=2/3
5/8.1428+3/(64-7)=2/3
.614+3/57=2/3
.614+.0526=2/3
.666=.666
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