{"id":30959,"date":"2023-06-27T12:40:32","date_gmt":"2023-06-27T12:40:32","guid":{"rendered":"https:\/\/moonpreneur.com\/math-corner\/?p=30959"},"modified":"2023-07-21T05:45:55","modified_gmt":"2023-07-21T05:45:55","slug":"sunya%e1%b9%81-samyasamuccaya","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/sunya%e1%b9%81-samyasamuccaya\/","title":{"rendered":"Vedic Math Sutra: Sutra 5-S\u016bnya\u1e41 Samy\u0101samuccaya"},"content":{"rendered":"\t\t
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S\u016bnya\u1e41 Samy\u0101samuccaya: When the sum is the same, that sum is zero<\/b><\/p>

S\u016bnya\u1e41 Samy\u0101samuccaya is a <\/span>Vedic Math<\/span><\/a> sutra that translates to “When the sum is the same, that sum is zero.” “S\u016bnya\u1e41” refers to zero, which plays a significant role in this sutra.<\/span><\/p>

The principle behind S\u016bnya\u1e41 Samy\u0101samuccaya is that if you have two quantities or expressions with the same sum, you can equate them to zero. This <\/span>sutra<\/span><\/a> is particularly useful when dealing with equations or balancing equations, as it simplifies calculations by manipulating the given equations.<\/span><\/p>

Recommended Reading: <\/b>VEDIC MATH SUTRAS: SUTRA 1- EKADHIKENA PURVENA<\/span><\/a><\/p>

Here’s an example to illustrate the application of the S\u016bnya\u1e41 Samy\u0101samuccaya sutra.<\/span><\/p>

Example<\/b><\/h4>

Let’s say you have the equation: 3x + 7 = 4x + 4<\/strong><\/p>

To solve this equation, you can apply the S\u016bnya\u1e41 Samy\u0101samuccaya sutra. The idea is to manipulate the equation so that the sum on one side is the same as the sum on the other.\u00a0<\/span><\/p>

In this case, you want to make the sum on the right side equal to the sum on the left.<\/strong><\/p>

To achieve this, you can subtract 3x from both sides of the equation, resulting in the following:<\/strong><\/p>

3x – 3x + 7 = 4x – 3x + 4<\/span><\/p>

Simplifying this expression, you get:<\/strong><\/p>

0 + 7 = x + 4<\/span><\/p>

Now, according to the S\u016bnya\u1e41 Samy\u0101samuccaya sutra, since the sums on both sides are the same (7 on the left and x + 4 on the right), you can equate them to zero:<\/strong><\/p>

7 = x + 4 – 7<\/span><\/p>

By subtracting 7 from both sides, you get:<\/strong><\/p>

7 – 7 = x + 4 – 7<\/span><\/p>

Simplifying further:<\/strong><\/p>

0 = x – 3<\/span><\/p>

So, the solution to the equation is x = 3.<\/strong><\/p>

Using the S\u016bnya\u1e41 Samy\u0101samuccaya sutra, we could simplify the equation and find the value of x without any complex algebraic manipulations.<\/span><\/p>

The S\u016bnya\u1e41 Samy\u0101samuccaya sutra is a powerful tool in Vedic Math that helps solve equations more efficiently, especially when balancing or simplifying expressions.<\/span><\/p>

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S\u016bnya\u1e41 Samy\u0101samuccaya: When the sum is the same, that sum is zero S\u016bnya\u1e41 Samy\u0101samuccaya is a Vedic Math sutra that translates to “When the sum is the same, that sum is zero.” “S\u016bnya\u1e41” refers to zero, which plays a significant role in this sutra. The principle behind S\u016bnya\u1e41 Samy\u0101samuccaya is that if you have two […]<\/p>\n","protected":false},"author":116,"featured_media":30962,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[980,981,982,983,978],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30959"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=30959"}],"version-history":[{"count":11,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30959\/revisions"}],"predecessor-version":[{"id":31250,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/30959\/revisions\/31250"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/30962"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=30959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=30959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=30959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}