Question

Q:-solve and verify the equation
$5x - 4 = 6x - 17$

Aryabhatta was a great mathematician
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Answer 1

Step-by-step explanation:

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and verify the equation

$5x - 4 = 6x - 17$

$\huge\tt\underline\blue{Answer }$

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$⟹5x - 4 = 6x - 17$

$⟹ - 4 + 17 = 6x - 5x$

$⟹13 = x$

CHECK:-

$⟹5(13) - 4 = 6(13) - 17$

$⟹65 - 4 = 78 - 17$

$⟹61 = 61$

THEREFORE,L.H.S=R.H.S

VERIFIED✔️

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Answer 2

Simplifying

5x + -4 = 6x + -17

Reorder the terms:

-4 + 5x = 6x + -17

Reorder the terms:

-4 + 5x = -17 + 6x

Solving

-4 + 5x = -17 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 5x + -6x = -17 + 6x + -6x

Combine like terms: 5x + -6x = -1x

-4 + -1x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + -1x = -17 + 0

-4 + -1x = -17

Add '4' to each side of the equation.

-4 + 4 + -1x = -17 + 4

Combine like terms: -4 + 4 = 0

0 + -1x = -17 + 4

-1x = -17 + 4

Combine like terms: -17 + 4 = -13

-1x = -13

Divide each side by '-1'.

x = 13

Simplifying

x = 13