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The graphs with equations 3y + 2x = rac{1}{2} and 2y - 3x = rac{113}{12} have been drawn on the grid below - Edexcel - GCSE Maths - Question 11 - 2019 - Paper 1

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Question 11

The-graphs-with-equations-3y-+-2x-=--rac{1}{2}---and-2y---3x-=--rac{113}{12}---have-been-drawn-on-the-grid-below-Edexcel-GCSE Maths-Question 11-2019-Paper 1.png

The graphs with equations 3y + 2x = rac{1}{2} and 2y - 3x = rac{113}{12} have been drawn on the grid below. Using the graphs, find estimates of the solutions ... show full transcript

Worked Solution & Example Answer:The graphs with equations 3y + 2x = rac{1}{2} and 2y - 3x = rac{113}{12} have been drawn on the grid below - Edexcel - GCSE Maths - Question 11 - 2019 - Paper 1

Step 1

Using the graphs, find estimates of the solutions of the simultaneous equations.

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Answer

To estimate the solutions of the simultaneous equations from the graph, we look for the point of intersection of the two lines represented by the equations.

Step 1: Identify the Intersection Point Locate the intersection point on the graph, which visually appears around the coordinates (approximately 1, -1.5).

Step 2: Estimate x and y Values Using the intersection point:

  • Estimate for x: x1x \approx 1

  • Estimate for y: y1.5y \approx -1.5

Thus, the estimated solution for the simultaneous equations is:

x=1,y=1.5x = 1, \quad y = -1.5

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