Solve each of the following linear equations: (i) x + 6 = 8 (ii) x − 2 = −5 (iii) 4x = 6 (iv) (v) 2y − 3 = 2 (vi) 5y + 2 = 4

Question

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(i) Given x + 6 = 8 ⇒ x = 8 − 6 [Transposing +6 to RHS] ∴ x = 2 (ii) Given x − 2 = −5 ⇒ x = −5 + 2 [Transposing −2 to RHS] ∴ x = −3 (iii) Given 4x = 6 ⇒ [Dividing both sides by 4] ∴ x = (iv) Given ⇒ x = 5 × 2 ∴ x = 10 (v) Given 2y − 3 = 2 ⇒ 2y = 2 + 3 [Transposing −3 to RHS] ⇒ 2y = 5 ⇒ [Dividing both sides by 2] ∴ y = (vi) Given 5y + 2 = 4 ⇒ 5y = 4 − 2 [Transposing +2 to RHS] ⇒ 5y = 2 ⇒ [Dividing both sides by 5] ∴ y =

Mathematics

Solve each of the following linear equations: (i) x + 6 = 8 (ii) x − 2 = −5 (iii) 4x = 6 (iv) (v) 2y − 3 = 2 (vi) 5y + 2 = 4

Simple Equations

Related Questions

For x = 5 and y = 2, verify the following:
(i) (x + y)² = x² + 2xy + y²
(ii) (x - y)² = x² - 2xy + y²
(iii) x² - y² = (x + y)(x - y)
(iv) (x + y)² = (x - y)² + 4xy
(v) (x + y)³ = x³ + y³ + 3x²y + 3xy²

Mathematics

Solve each of the following linear equations: (i) x + 6 = 8 (ii) x − 2 = −5 (iii) 4x = 6 (iv) (v) 2y − 3 = 2 (vi) 5y + 2 = 4

Simple Equations

Related Questions

For x = 5 and y = 2, verify the following:(i) (x + y)2 = x2 + 2xy + y2(ii) (x - y)2 = x2 - 2xy + y2(iii) x2 - y2 = (x + y)(x - y)(iv) (x + y)2 = (x - y)2 + 4xy(v) (x + y)3 = x3 + y3 + 3x2y + 3xy2

For x = 5 and y = 2, verify the following:
(i) (x + y)² = x² + 2xy + y²
(ii) (x - y)² = x² - 2xy + y²
(iii) x² - y² = (x + y)(x - y)
(iv) (x + y)² = (x - y)² + 4xy
(v) (x + y)³ = x³ + y³ + 3x²y + 3xy²