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QUESTION IMAGE

plot the coordinates for the non - solutions, (4, 6) and (4, 3), to see…

Question

plot the coordinates for the non - solutions, (4, 6) and (4, 3), to see what you notice.
2g + 3s = 20

Explanation:

Step1: Identify coordinate axes

The horizontal axis ($g$) = grapes, vertical axis ($s$) = strawberries.

Step2: Plot (4,6)

Find $g=4$ on x-axis, move up to $s=6$, mark the point.

Step3: Plot (4,3)

Find $g=4$ on x-axis, move up to $s=3$, mark the point.

Step4: Analyze position relative to line

Check if points lie on $2g+3s=20$:
For $(4,6)$: $2(4)+3(6)=8+18=26
eq20$ (above the line)
For $(4,3)$: $2(4)+3(3)=8+9=17
eq20$ (below the line)

Answer:

The points (4, 6) and (4, 3) are plotted on the grid: (4,6) lies above the line $2g+3s=20$, and (4,3) lies below the line. Both are not on the line, confirming they are non-solutions to the equation.