Question

questions 9-11 are worth 2 marks each, broken down as follows: - 1 mark for graphing each equation in the system - 1 mark for stating the solution to the system as an ordered 9. solve the system graphically. y = 2x + 3 x + y = 1.5

Explanation:

Step1: Identify equations

System: $y=2x+3$ and $y=-x+1.5$

Step2: Find intersection

Set $2x+3=-x+1.5$ → $3x=-1.5$ → $x=-0.5$
Substitute $x=-0.5$ into $y=2x+3$: $y=2(-0.5)+3=-1+3=2$

Step3: Verify

Check $x=-0.5,y=2$ in $y=-x+1.5$: $2=-(-0.5)+1.5=0.5+1.5=2$ (true)

Answer:

(-0.5, 2)