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Solve the following simultaneous equations using the substitution method. (a) 3m+n+1=9,m+(n)/(2)-1=9 (b) 7x+6y-33=0,5x-4y=7

22. Solve the following simultaneous equations using the substitution method.\newline(a) 3m+n+1=9,m+n2−1=9 3 m+n+1=9, m+\frac{n}{2}-1=9 \newline(b) 7x+6y−33=0,5x−4y=7 7 x+6 y-33=0,5 x-4 y=7

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Q. 22. Solve the following simultaneous equations using the substitution method.\newline(a) 3m+n+1=9,m+n2−1=9 3 m+n+1=9, m+\frac{n}{2}-1=9 \newline(b) 7x+6y−33=0,5x−4y=7 7 x+6 y-33=0,5 x-4 y=7
  1. Solve for nn: Step 11: Solve the first equation of set (a) for nn.
  2. Substitute into second equation: Step 22: Substitute the expression for nn into the second equation of set (a)(a).
  3. Solve for mm: Step 33: Solve for mm in set (a)(a).
  4. Find nn using mm: Step 44: Find nn using the value of mm in set (a)(a).
  5. Solve for yy: Step 55: Solve the first equation of set (b)(b) for yy.
  6. Substitute into second equation: Step 66: Substitute the expression for yy into the second equation of set (b)(b).
  7. Find yy: Step 77: Find yy using the value of xx in set (b)(b).

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