Question
Solve the following system of equations and find (x +
y): 2x + 3y = 17 4x − 5y = 1
Solution
ATQ, From 2x + 3y = 17 ...(1) From 4x − 5y = 1 ...(2) From (1): 2x = 17 − 3y → x = (17 − 3y)/2 Substitute into (2): 4 × (17 − 3y)/2 − 5y = 1 2(17 − 3y) − 5y = 1 34 − 6y − 5y = 1 34 − 11y = 1 11y = 33 y = 3 Then x = (17 − 3×3)/2 = (17 − 9)/2 = 8/2 = 4 x + y = 4 + 3 = 7
More Algebra Questions
- A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the origina...
- If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C) is:
- Question 3
- If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is
- For a =-4 and b = 5, value of a² – b² is:
- If √c + (1/√c) = 7, then find the value of c + (1/c).
- Find the number in place of ? 6, 14, 26, ?, 106, 214
- Question 8
- If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca
- If (x24 + 1)/x12 = 7, then the value of (x72 + 1)/x36 is
Relevant for Exams:
