Use these graphs to solve the simultaneous equations 5x - 9y = -46 y = -2x x = __ y = __ Use this graph to find estimates for the solutions of the quadratic equation x² - 4x + 2 = 0 - Edexcel - GCSE Maths - Question 7 - 2020 - Paper 3

To solve these equations using the graphs:

1. Plot the equations: The first equation 5x - 9y = -46 can be expressed in slope-intercept form. Rearranging gives us:

   $y = \frac{5}{9}x + \frac{46}{9}$

   The second equation is already in slope-intercept form: [y = -2x]

2. Identify intersection point: Look for the point where these two lines intersect on the graph. This intersection point provides the solution for both x and y. After analyzing the graph, we can estimate that:

   • x is approximately 2.6
   • y is approximately -5.2

Thus, the solution can be approximated as:

$x \approx 2.6, \; y \approx -5.2$