Question

2x+3y=40 and 3x+2y=35 by cross multiplecation
ans fast and explaned
if u give irrelevant answers i will report ur all ans​

Answer 1

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➠ Solve : 2x + 3y = 40 and 3x + 2y = 35 by cross multiplication

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❏ Cross multiplication method is one of the effective method in solving a pair of linear equation in 2 variables.

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❏ If 2 equations are as follow :

• a₁x + b₁y + c₁ = 0
• a₂x + b₂y + c₂ = 0

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then,

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$\star \; \; \; \; \; \;\; \; \; \; \; \; \boxed { \orange { :\longmapsto x = \dfrac{b_1c_2 - b_2c_1}{a_1b_2 - a_2b_1} } }$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed { \orange { :\longmapsto y = \dfrac{c_1a_2 - c_2a_1}{a_1b_2 - a_2b_1} } }$

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$\underline{\boxed{\bold{ \bigstar \; Given \; \bigstar }}}$  

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➠ Equation 1 : 2x + 3y - 40 = 0

➠ Equation 2 : 3x + 2y - 35 = 0

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Let's Start !

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Here,

❖ Equation 1 : 2x + 3y - 40 = 0

• a₁ = 2                  
• b₁ = 3
• c₁ = (-40)

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❖ Equation 2 : 3x + 2y - 35 = 0

• a₂ = 3
• b₂ = 2
• c₂ = (-35)

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• Calculation for variable "x"

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$\boxed { \bold { :\longmapsto x = \dfrac{b_1c_2 - b_2c_1}{a_1b_2 - a_2b_1} } }$

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$:\implies x = \dfrac{\{(3)(-35)\} - \{(2)(-40)\}}{(2)(2) - (3)(3)}$

$:\implies x = \dfrac{-105 - (-80)}{4- 9}$

$:\implies x = \dfrac{-105 + 80}{-5}$

$:\implies x = \dfrac{-25}{-5}$

$\bold {\blue { :\implies x = 5 }}$

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• Calculation for variable "y"

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$\boxed { \bold { :\longmapsto y = \dfrac{c_1a_2 - c_2a_1}{a_1b_2 - a_2b_1} } }$

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$:\implies y = \dfrac{\{(-40)(3)\} - \{(-35)(2)\}}{(2)(2)-(3)(3)}$

$:\implies y = \dfrac{(-120)- (-70) }{4-9}$

$:\implies y = \dfrac{-120 +70 }{-5}$

$:\implies y = \dfrac{-50 }{-5}$

$\bold{ \blue { :\implies y = 10} }$

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$\boxed{\boxed{\bold{\therefore Value\;of\;x = 5 }}}$

$\boxed{\boxed{\bold{\therefore Value\;of\;y = 10 }}}$

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Hope this helps u.../

【Brainly Advisor】

Answer 2

Answer:

value of x =5

value of y = 10