Question

3. Solve the equation: 5m - 2(3m - 7) = 5(3m - 1) + 2

Answer 1

Step-by-step explanation:

LHS= 5m - 2(3m - 7)

(5m× 3m -7× 5m ) ( 2×3m+2×7)

15m - 35m - 6m +14

-35m+15m-6m +14

-41m-6m+14

-47m +14

RHS= 5(3m - 1) + 2

(5× 3m-5× 1) (2)

15m-5+2

15m-3

LHS is not equal to RHS.

Answer 2

ANSWER:

$m =1 .0625$

EXPLANATION:

$5m - 2(3m - 7) = 5(3m - 1) + 2$

$5m - 6m + 14 = 15m - 5 + 2$

$- m + 14 = 15m - 3$

$- m - 15m = - 3 - 14$

$- 16m = - 17$

$m = \frac{ - 17}{ - 16}$

$m = \frac{17}{16}$

$m = 1.0625$

CHECK:

$5m - 2(3m - 7) = 5(3m - 1) + 2$

$5(1.0625) - 2( \: 3(1.0625) - 7) = 5( \: 3(1.0625) - 1) + 2$

$5.3125 - 2(3.1875 - 7) = 5(3.1875 - 1) + 2$

$5.3125 - 2( - 3.8125) = 5(2.1875) + 2$

$5.3125 + 7.625 = 10.9375 + 2$

$12.9375 = 12.937$

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