If the system of linear equations 2 x - 3 y = γ + 5 α x + 5 y = β + 1 , where α , β , γ ∈ R has infinitely many solutions, then the value of 9 α + 3 β + 5 γ is equal to

Question

If the system of linear equations 2 x - 3 y = &#947; + 5 &#945; x + 5 y = &#946; + 1 , where &#945; , &#946; , &#947; &#8712; R has infinitely many solutions, then the value of 9 &#945; + 3 &#946; + 5 &#947; is equal to

Aicharya · Accepted Answer

Given, 2 x - 3 y = &#947; + 5 &#945; x + 5 y = &#946; + 1 Has infinite many solutions So, &#945; 2 = 5 - 3 = &#946; + 1 &#947; + 5 &#8658; &#945; = - 10 3 , &#160;&#160; 5 &#947; + 25 = - 3 &#946; - 3 &#8658; 9 &#945; = - 30 , &#160;&#160; 3 &#946; + 5 &#947; = - 28 Now, 9 &#945; + 3 &#946; + 5 &#947; = - 58 9 &#945; + 3 &#946; + 5 &#947; = 58

If the system of linear equations 2 x - 3 y = γ + 5 α x + 5 y = β + 1 , where α , β…

Solution

If the system of linear equations 2 x - 3 y = &#947; + 5 &#945; x + 5 y = &#946; + 1 , where &#945; , &#946;…

Solution

If the system of linear equations 2 x - 3 y = γ + 5 α x + 5 y = β + 1 , where α , β…