The straight lines $L_1$ and $L_2$ have equations $y=2x-3$ and $x+y=6$, respectively. The ta

Question

The straight lines $L_1$ and $L_2$ have equations $y=2x-3$ and $x+y=6$, respectively. The table below gives corresponding values of $x$ and $y$ for the two lines. Copy and complete the table. On a coordinate grid, draw and label both lines for $-1\leq x\leq5$. Use 1-unit intervals on both axes. Hence, use the graph to solve the simultaneous equations $y=2x-3$ and $x+y=6$.

Accepted Answer

(a) For $x=-1,2,5$, the values of $y$ are $-5,1,7$ for $L_1$ and $7,4,1$ for $L_2$. (b) See the completed graphs. (c) $x=3,\ y=3$.

\(x\)	\(-1\)	\(2\)	\(5\)
\(y\) for \(L_1\)
\(y\) for \(L_2\)

Intersection of two straight lines

Intersection of two straight lines

Solution:

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