Mathematics 10 — Exercise 2.2 · Q2 (i)

Full question

Draw the graphs of the following two equations on the same coordinate plane. Find their point(s) of intersection and hence solve the simultaneous equations.

y = 8 - x

y = 3 \times x - 4

Step-by-step solution

Write both equations as y = f(x) and y = g(x).
$(y = 8 - x, y = 3 \times x - 4)$
Compute and plot points for both curves. Their intersection is where they share x AND y.
Check the graph reading by setting the two expressions for y equal.
$8 - x = 3 \times x - 4$
Move all terms to one side and solve for x.
$- 4 \times (x - 3) = 0$
Substitute each x into either equation for y.
$((3, 5))$

x	y, curve 1	y, curve 2
0	8	-4
1	7	-1
3	5	5

Answer

The final answer is shown below.

{(3, 5)}