Solve by Cross multiplication Method
1) x + 2y - 3 = 0; 3x - 2y + 7 = 0
2) 2x - 3y = 5; 3x + 4y = -1
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Step-by-step explanation:
Hey friend,
HERE IS THE ANSWER
2x+3y-9=0---------(1)
3x+4y-5=0---------(2)
Multiply equation (1) by 4 and Equation (2) by 3.
➡(4)(2)x+(4)(3)y+(4)(-9)=0---------(3)
➡(3)(3)x+(3)(4)y+(3)(-5)=0---------(4)
Subtracting Equation (4) from equation (3),we get
➡[(2)(4)-(3)(3)]x+[(4)(3)-(3)(4)]y+[(4)(-9)-(3)(-5)]
Therefore
➡x=-[(4)(-9)-(3)(-5)]
___________
(2)(4)-(3)(3)
➡x=(3)(-5)-(4)(-9)
__________------------(5)
(2)(4)-(3)(3)
If Equations (1)and (2) are written as
a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0
a₁=2,b₁=3,c₁=-9,a₂=3,b₂=4,c₂=-5
Therefore equations (5)
-15+36
x=________
8-9
=-21
y=17
similarly
Hope it helps
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