IGCSE /Grade 10
Maths MCQ Based On Finding the number of solutions to simultaneous equations
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IGCSE Grade 10 Maths Finding the number of solutions to simultaneous equations
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Check the gradient and y intercept for the 2 equations.
The values (3, -2) represent the coordinates of a single point where the two lines intersect. This intersection point satisfies both equations simultaneously, indicating that there is only one solution that satisfies both equations.
Let's find the slopes of both equations by rearranging them in slope-intercept form (y = mx + b).
Find the gradient and y - intercept
Find the gradient and the y-intercepts for the given simultaneous equations.
Find y-intercepts and the gradient.
Check the gradient and the y-intercepts of the given equations.
Find the gradients and y - intercepts.
Find the gradient and y-intercept.
We can notice that Equation 2 is exactly twice Equation 1. This means that Equation 2 is a multiple of Equation 1. Therefore, the two equations represent the same line, and they are coincident.
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