12. Solve the following pair of linear equation
217𝑥 + 131𝑦 = 913; 131𝑥 + 217𝑦 = 827
13. Solve for x and y:
6(𝑎𝑥 + 𝑏𝑦) = 3𝑎 + 2𝑏;
6(𝑏𝑥 − 𝑎𝑦) = 3𝑏 − 2𝑎
14. Jamila sold a table and a chair for ₹1050, thereby making a profit of 10% on the table and 25% on the chair.
If she had taken a profit of 25% on the table and 10% on the chair, she would have got ₹1065. Find the cost
price of each.
15. Determine algebraically, the vertices of the triangle formed by the lines 3𝑥 − 𝑦 = 3, 2𝑥 − 3𝑦 = 2, and 𝑥 +
2𝑦 = 8.
16. A number consists of three digits whose sum is 17. The middle one exceeds the sum of the other two by 1.
If the digits be reversed, the number is diminished by 396. Find the number.
17. Find the ratio of the areas of the two triangles formed by the lines representing the equation 2𝑥 + 𝑦 = 6
and 2𝑥 − 𝑦 + 2 = 0 with the x-axis and the lines with the y-axis.
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.