Solve by substitution method, given pair of linear equations
5(y+1)-4(x+3)=29 and 7(y-3)+2(x-6)=25
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2
Step-by-step explanation:
i) x+y=5 ...(i)
2x−3y=4 ...(ii) (elimination method)
Multiply eqn (i) by 2
2x+2y=10
2x−3y=4
−+−
____________
5y=6
⇒y=
5
6
Substitute y=
5
6
in eqn (i)
x+y=5
x+
5
6
=5
⇒x=
5
5×5
−
5
6
=
5
19
Substitution method
x+y=5 ....(i)
2x−3y=4 ....(ii)
y=5−x ...(iii)
Putting eqn. (3) in (2)
2x−3(5−x)=4
2x−15+3x=4
x=
5
19
y=
5
5×5
−
5
19
y=
5
6
(ii)
Elimination method
3x+4y=10 ...(i)
2x−2y=2 ...(ii)
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