Solve the following pair of linear equations by substitution method.
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Step-by-step explanation:
11x+15y+23=0 ; 7x - 2y - 20 = 0
11x+15y=-23 ; 7x-2y=20
11x+15y=-23 ....(1)
7x-2y=20. .....(2)
7x=20+2y
x=(20+2y)/7......(3).....from equation(2)
using equation(3) in (1)
11*[(20+2y)/7] + 15y = -23
multiply by 7 on both sides
11*(20+2y) + 105y = −161
220 + 22y+105y =−161
127y=-161 -220
127y= −381
y=-3
using value of 'y' in eqution (3)
x=(20+2y)/7
x= [20+2(-3)]/7
x=[20-6]/7
x=14/7
x=2
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Answer:
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