Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
Solve graphically, the following pairs of equations:
Solve graphically, the following pairs of equations: \( 2 x+y=23 \) \( 4 x-y=19 \)
- A. \( x=1, y=4 \)
- B. \( x=9, y=2 \)
- C. \( x=5, y=0 \)
- D. \( x=7, y=9 \)
Step-by-step solution
Add the equations: (2x+y)+(4x-y)=23+19 => 6x=42 => x=7. Substitute x=7 into 2x+y=23 => 14+y=23 => y=9. The intersection point is (7,9), which corresponds to option D.
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