Question

3. Solve the equations by substitution method 3x+ 2y=29 ; y= 5x -18 . *

Your answer


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Answer 1

Step-by-step explanation:

Given,3x+2y=29; y=5x-18

so,3x+2(5x-18)

=>3x+10x-36=29

=>13x=29+36

=>13x=65

=>x=5

y=5(5)-18

=>y=25-18

=>y=7

Hence,x=5 & y=7

Answer 2

Given equations

$3x+2y=29--(1)$

$y = 5x-18--(2)$

Substituting the value of y in the first equation, we get,

$\implies 3x+2(5x-18)=29$

$\implies 3x+10x-36=29$

$\implies 13x=29+36$

$\implies 13x=65$

$\implies x = \dfrac{65}{13}$

$\implies x = 5$

Substituting the value of x in the second equation, we get,

$\implies y = 5(5)-18$

$\implies y = 25-18$

$\implies y = 7$

$\boxed{\boxed{\bold{Therefore, \ the \ values \ of \ x \ and \ y \ are \ 5 \ and \ 7 \ respectively}}}}}}}}}}$