3 years ago

What is the solution to the following equation? 3/8 x + 6(x + 3) = -5( 1/4 x - 1) + 6x x = -13 x = 13 x = 8 x = -8

Mathematics

1 answer:

Levart [38]3 years ago

4 0

$3 \div 8x + 6x + 3x = - 5 \times 1 \div 4x - - 5 \times 1 + 6xx = - 13x = 13x = 8x = - 8$

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What is the value of x with clear working out please?

nirvana33 [79]

Answer:

Answer:  x is 46° 

Step-by-step explanation:

• Let's first find Angle ACB

${ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\ \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\ \\ { \underline{ \rm{ \: \angle ACB = 67 \degree}}}$

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

${ \rm{x + \angle ABC + \angle ACB = 180 \degree}} \\ \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\ \\ { \rm{x + 134 \degree = 180 \degree}} \\ \\ { \boxed{ \rm{x = 46 \degree}}}$