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Two lines $y = \frac{1}{2}$ $x + 2$ and $y = - x + 8$ are drawn on a graph.
Find the $x$ -coordinate where they intersect.

Class 10Graphical MethodAlgebra — Systems of Equations

A3
B4
C8
D5

Step-by-Step Solution

Set

\frac{1}{2}

x + 2 = - x + 8

. Multiply by 2:

x + 4 = - 2 x + 16, 3 x = 12, x = 4

(then

y = 4

).

Answer: B) 4

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