Solve the following pairs of linear equations:

Question

KnowledgeBoat · Accepted Answer

Substituting in above eq. we get, .....(i) 7a + 4b = 2 .......(ii) Multiplying eq. (i) by 14 we get, 7a + 24b = 7 ......(iii) Subtracting eq. (ii) from (iii) we get, ⇒ 7a + 24b - (7a + 4b) = 7 - 2 ⇒ 7a + 24b - 7a - 4b = 7 - 2 ⇒ 20b = 5 ⇒ b = . ⇒ 3x - 2y = 4 ........(iv) Substituting value of b in eq. (iii) we get, ⇒ 7a + = 7 ⇒ 7a + 6 = 7 ⇒ 7a = 1 ⇒ a = . ⇒ 2x + 3y = 7 .......(v) Multiplying eq. (iv) by 2 and eq. (v) by 3 we get, ⇒ 6x - 4y = 8 .......(vi) ⇒ 6x + 9y = 21 .......(vii) Subtracting eq. (vi) from (vii) we get, ⇒ (6x + 9y) - (6x - 4y) = 21 - 8 ⇒ 13y = 13 ⇒ y = 1. Substituting value of y in eq. (vi) we get, ⇒ 6x - 4(1) = 8 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2. Hence, x = 2 and y = 1.

Mathematics

Solve the following pairs of linear equations:

Linear Equations

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If x = 3, y = k is a solution of the equation 3x - 4y + 7 = 0, then the value of k is
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Mathematics

Solve the following pairs of linear equations:

Linear Equations

Related Questions

If x = 3, y = k is a solution of the equation 3x - 4y + 7 = 0, then the value of k is16-164-4

If x = 3, y = k is a solution of the equation 3x - 4y + 7 = 0, then the value of k is
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4
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