This lesson includes 30 additional questions and 178 additional question variations for subscribers.
Lesson Worksheet: Solving a System of Two Equations Using a Matrix Inverse Mathematics • 10th Grade
In this worksheet, we will practice solving a system of two linear equations using the inverse of the matrix of coefficients.
Q8:
The length of a rectangle is 6 cm more than twice its width, and twice its length is 39 cm more than its width. Given this, use matrices to determine the perimeter of the rectangle.
Q9:
A girl bought 6 kilograms of flour and 5 kilograms of butter for 503 LE, and her friend bought 4 kg of flour and 7 kg of butter for 669 LE. Using matrices, find the price per kilogram of both flour and butter.
- AA kilogram of flour costs 6 LE and a kilogram of butter costs 110 LE.
- BA kilogram of flour costs 91 LE and a kilogram of butter costs 8 LE.
- CA kilogram of flour costs 61 LE and a kilogram of butter costs 46 LE.
- DA kilogram of flour costs 8 LE and a kilogram of butter costs 91 LE.