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GB-40-05-001 · Solving rational equations

Solve 63x+1=9\frac{63}{x+1}=9, where x ≠ −1.

Solving Equations: Algebraic Fractions Booklet p. 11 & p. 12
Method
1) Kill fraction by multiplying both sides by (x + d)
2) Expand and kill, kill to solve for x
Worked Example (GB-40-05-001)
63x+1=9\frac{63}{x + 1} = 9
← Booklet p. 11: Kill fraction by multiplying by (x+1)(x+1)
×(x+1)\times (x + 1) ×(x+1)\times (x + 1)
63=9(x+1)63 = 9(x + 1)
← Divide both sides by 99
÷9\div 9 ÷9\div 9
7=x+17 = x + 1
← Kill +1+1
−1-1 −1-1
x=6x=6