Maths · Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
Solve the following equations by substitution method.
Solve the following equations by substitution method. \( \boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7} \)
- A. \( x=8, y=3 \)
- B. \( x=2, y=3 \)
- C. \( x=5, y=3 \)
- D. \( x=1, y=3 \)
Step-by-step solution
Substitute x = 2y - 1 into y = 2x - 7: y = 2(2y - 1) - 7 → y = 4y - 2 - 7 → y = 4y - 9 → 3y = 9 → y = 3. Then x = 2(3) - 1 = 5.
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