For what value of “m” will the pair of linear equations 2 + 3 = 7 and
have no solutions?

1 thought on “For what value of “m” will the pair of linear equations 2 + 3 = 7 and<br /> have no solutions?”

1. Answer:

   2x+3y−7=0(m−1)x+(m+1)y=3m−1⟹y=7−2×3⟹y=3m−1−(m−1)xm+1

   7−2×3(7−2x)(m+1)7m+7−2mx−2xmx−5xx(m−5)=3m−1−(m−1)xm+1=3(3m−1−(m−1)x)=9m−3−3mx+3x=2m−10=2(m−5)⟹x=2⟹m=5

   Let’s move on with x=2.

   y=7−2×3=7−2∗23=7−43=33=1

   We now have a point at which both linear equations are the same. Let’s plug it in and solve for m.

   y1m+1m+1m−3m+2m0=3m−1−(m−1)xm+1=3m−1−2(m−1)m+1=3m−1−2(m−1)=3m−1−2m+2=−1−1+2=0

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