Question

solve by substitution
x/2-y/3=5/6
x/5-y/4=29/10

Answer 1

(x)/(2)-(y)/(3)=(5)/(6)

-(y)/(3)=-(x)/(2)+(5)/(6)

-y=(-3x+5)/(2)

y=(-3x+5)/(2)*-1

y=(3x-5)/(2)
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(x)/(5)-((3x-5)/(2))/(4)=(29)/(10)

(x)/(5)-(3x-5)/(8)=(29)/(10)

(x)/(5)*(8)/(8)-(3x-5)/(8)*(5)/(5)=(29)/(10)

(x(8))/(40)-((3x-5)(5))/(40)=(29)/(10)

(x(8)-((3x-5)(5)))/(40)=(29)/(10)

(-7x+25)/(40)=(29)/(10)

-7x+25=116

-7x=91

x=-13
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y=-22
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(-13,-22)

Answer 2

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