1. Solve the following simultaneous linear equations by the substitution method.
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1 By substitution method,
3x+4y=10 & 2x−2y=2⇒2(x−y)=2⇒x−y=1 ___ (2)
∴x=y+1→(1).
Substituting in equation (2).
∴3x+4y=10⇒3(y+1)+4y=10
⇒3y+3+4y=10⇒7y=7⇒y=1
∴x=1+1=2
∴x=2,y=1
2
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