x/10 + y/5 +1 = 15 and x/8 + y/6 =15 . solve the following linear equation by cross multiplying .
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hence, the value of x=80 and value of y=30
Step-by-step explanation:
x/10 +y/5 +1= 15
(x+2y)/10=14
x+2y=140
x+2y-140=0. eq.1
x/8 +y/6 = 15
(3x + 4y)/24 = 15
3x+ 4y =360
3x+4y -360=0. eq.2
a1=1,a2=3,b1=2,b2=4,c1=-140,c2=-360
by using cross multiplying we get
x/(b1×c2-b2×c1) =y/(c1×a2-c2×a1)=1/(a1×b2-a2×b1)
x/-160 = y/-60 = 1/-2
on solvin the above,we get
x=80 ,y=30
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