A line passes through points whose coordinates satisfy x + 2y = 8 and another line satisfies 2x + y = 7. Their intersection is found by elimination. Find the x-coordinate of the point of intersection.

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Accepted Answer

2. Multiply first by 2: 2x + 4y = 16. Subtract second: 3y = 9, y = 3; then x + 2(3) = 8, x = 2. Intersection (2, 3).

A line passes through points whose coordinates satisfy $x + 2 y = 8$ and another line satisfies $2 x + y = 7$ . Their intersection is found by elimination.
Find the $x$ -coordinate of the point of intersection.

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More Class 10 Elimination Method practice

A line passes through points whose coordinates satisfy x+2y=8 and another line satisfies 2x+y=7. Their intersection is found by elimination.Find the x-coordinate of the point of intersection.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Elimination Method practice

A line passes through points whose coordinates satisfy $x + 2 y = 8$ and another line satisfies $2 x + y = 7$ . Their intersection is found by elimination.
Find the $x$ -coordinate of the point of intersection.