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in Algebra by (65.5k points)

Solve the following equations :

(a) 10p = 100

(b) 10p + 10 = 100

(c) \(\frac{p}{4}\) = 5

(d) \(\frac{-p}{3}\) = 5

(e) \(\frac{3p}{4} = 6\)

1 Answer

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Best answer

(a) 10p = 100

The given equation is 10p = 100
Divide by 10 both the sides

Substitute the value of p in the given equation
10p = 100
10 x 10 = 100
100 = 100
∴ LHS = RHS (verified)

(b) 10p + 10 = 100

The given equation is 10p + 10 = 100
subtract 10 from both the sides

Substitute the value of p = 9 in the given equation
10p + 10 = 100
10 × 9 + 10 = 100
90 + 10 = 100
100 = 100
LHS = RHS (verified)

(c) \(\frac{p}{4}\) = 5

5 = 5
∴ LHS = RHS (verified)

(d) \(\frac{-p}{3}\) = 5

The given equation is \(\frac{-p}{3}\) = 5
The equation is multiplied by -3 both the sides

Substitute the value of p = -15 in the given equation

∴ LHS = RHS (verified)

(e) \(\frac{3p}{4} = 6\)

Substitute the value p = 8 in the given equation

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