Maths · Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
Solve the following pair of linear (simultaneous) equations by the method of eli
Solve the following pair of linear (simultaneous) equations by the method of elimination: \( 8 x+5 y=9 \) \( \mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=\mathbf{4} \)
- A. \( x=1 \) and \( y=-2 \)
- B. \( x=1 \) and \( y=-5 \)
- C. \( x=3 \) and \( y=6 \)
- D. \( x=-2 \) and \( y=5 \)
Step-by-step solution
Multiply the first equation by 2 and the second equation by 5 to eliminate y: 16x+10y=18 and 15x+10y=20. Subtract to get x=-2. Substitute back into 8(-2)+5y=9 gives -16+5y=9, so 5y=25, y=5.
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