$\"\"$

\

The equation are inslope-intercept form y = mx + b.

\

$\"\"$

\

$\"\"$

\

Make a table to find the solution that satisfies both equations.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ x \	\ y₁ = – $\"\"$ x + 3 \	\ y₁ \	\ y₂ = – 2x + 9 \	\ y₂ \	\ (x₁, y₁) \	\ (x₂, y₂) \
\ –1 \	\ y₁ = – $\"\"$ (–1)+3 \	\ $\"\"$ \	\ y₂ = – 2(– 1)+9 \	\ 11 \	\ (–1, $\"\"$ ) \	\ (–1, 11) \
\ 0 \	\ y₁ = – $\"\"$ (0)+3 \	\ 3 \	y₂ = – 2(0) + 9	\ 9 \	\ (0, 3) \	\ (0, 9) \
\ 1 \	y₁ = – $\"\"$ (1)+3	\ $\"\"$ \	y₂ = – 2(1) + 9	\ 7 \	\ (1, $\"\"$ ) \	\ (1, 7) \
\ 4 \	y₁ = – $\"\"$ (4)+3	\ 1 \	y₂ = – 2(4) + 9	\ 1 \	\ (4, 1) \	\ (4, 1) \

\

Since the ordered pair (4, 1) satisfying the both equations,the solution of the sysytem is (4, 1). $\"\"$

\

The solution of the sysytem is (4, 1).