Question

Solve and verify
9.8x - 13.8 =2.7 - 1x/5

Answer 1

Answer:

$9.8x - 13.8 = 2.7 - \frac{1x}{5} \\ \\ multiplying \: both \: sides \: by \: 5\\ = 5(9.8x - 13.8) = 5(2.7 - \frac{5x}{5} ) \\ = 49x - 69 = 13.5 - x \\ = 49x + x = 13.5 + 69 \\ = 50x = 82.5 \\ = x = \frac{82.5}{50} = 1.65 \\ verifying \: the \: equation \: by \: \\ using \: x = 1.65 \\ lhs = 9.8x - 13.8 \\ = 9.8 \times 1.65 - 13.8 \\ = 16.17 - 13.8 = 2.35 \\ rhs = 2.7 - \frac{1x}{5} \\ = 2.7 - \frac{1.65}{5} \\ = 2.7 - 0.33 = 2.35 \\ thus \: lhs = rhs$

Answer 2

Answer:

9.8x−13.8=2.7−

5

1x

multiplyingbothsidesby5

=5(9.8x−13.8)=5(2.7−

5

5x

)

=49x−69=13.5−x

=49x+x=13.5+69

=50x=82.5

=x=

50

82.5

=1.65

verifyingtheequationby

usingx=1.65

lhs=9.8x−13.8

=9.8×1.65−13.8

=16.17−13.8=2.35

rhs=2.7−

5

1x

=2.7−

5

1.65

=2.7−0.33=2.35

thuslhs=rhs