Question

Solve the question in equations and verify the answers..
(i) 6x–5=5x+7
(ii) 7(1–2x)+6(2–3x)=–13
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Answer 1

Given to solve the Equations,

☂︎ 6x - 5 = 5x + 7

☞ 6x - 5x = 7 + 5

☞ x = 12

☂︎ 7(1 - 2x) + 6(2 - 3x) = -13

☞ (7 - 14x) + (12 - 18x) = -13

☞ 14x - 18x = -13 - 7 - 12

☞ -4x = -32

☞ x = -32/4

☞ x = -8

@MathematicsAaryabhat

Answer 2

Answer:

(1) x=12

(ii) x=1

Step-by-step explanation:

(1) 6x-5=5x+7

6x-5-5x-7=0

x=12

verification

6*(12)-5=5*(12)+7

72-5=60+7

67=67. (LHS=RHS)

verified

(2) 7(1–2x)+6(2–3x)=–13

7-14x+12-18x=-13

19-32x=-13

-32x=-13-19

-32x=-32

x= -32/-32=1

verification

7(1-2*1)+6(2-3*1)=-13

7*(-1)+6(-1)=-13

-7-6=-13

-13=-13 (LHS=RHS) hence verified