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Marat540 [252]
4 years ago
8

Solve the equation for x 3x+9x = 6x + 42

Mathematics
1 answer:
podryga [215]4 years ago
3 0

= 3x + 9x = 6x + 42

= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )

= 12x - 6x = 42

= 6x = 42

= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )

= x = 7

Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :

= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42

= 21 + 63 = 42 + 42

= 84 = 84

= LHS = RHS

Hence proved we have derived the correct value of x .

Therefore , the value of x = 7 .

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The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of <span>104+34+228+877:
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Let's first summarize the digits of individual numbers:
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Now, let's sum these sums:
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Then, let's summarize the digits of the total sum:
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Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of <span>104 + 34 + 228 + 877 is really 1243.</span>

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