Q19 of 35 Page 3


Solve the following system of equations:
https://static.philoid.co/ncertusercontent/solutions/user_files/63094/15041/images/extra-3_files/-90.gif =https://static.philoid.co/ncertusercontent/solutions/user_files/63094/15041/images/extra-3_files/de3.gif =https://static.philoid.co/ncertusercontent/solutions/user_files/63094/15041/images/extra-3_files/x3.gif

⇒
8(x+y-8) = 2(x+2y-14)
6x + 4y - 36 = 0
3x + 2y - 18 = 0 … (i)

⇒
11(x + 2y -14) = 8(3x + y - 12)
13x - 14y + 58 = 0 … (ii)
Multiplying (i) by 7 and subtracting from (ii),
34x - 68 = 0 or x = 2
Substituting x = 2 in (i),
3(2) + 2 y - 18 = 0
6 + 2y -18 = 0
2y -12 = 0
y = 6
The solution set is {2, 6}.

More from this chapter

All 35 →
17
The perimeter of a right-angled triangle is five times the length of itsshortest side. The numerical value of the area of the triangle is 15 times thenumerical value of the length of the shortest side. Find the lengths of thethree sides of the triangle.
 18
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours it cango 40 km upstream and 55 km downstream. Determine the speed of thestream and that of the boat in still water?
 20
The ratio of two numbers is 2 : 3. If two is subtracted from the first numberand 8 from the second, the ratio becomes the reciprocal of the original ratio.Find the numbers.
 21
Solve the following system of equations:
https://gs-post-images.s3.amazonaws.com/user_files/63094/15041/images/extra-3_files/za.gif ;https://gs-post-images.s3.amazonaws.com/user_files/63094/15041/images/extra-3_files/zs.gif .