If 2x + y = 23 and 4x - y = 19, find the values of 5y - 2x and y/ x - 2
Solution:
From the above question, we have the linear equations as,
2x + y = 23---------------(i)
4x - y = 19----------------(ii)
Adding the equation (i) and (ii),
6x = 42
x = 7.
Substituting x value in (i), we get,
2(7) + y = 23
14 + y = 23
y = 23 - 14
y = 9
Substituting the values of x and y in 5y - 2x and y/ x - 2, we get,
5y - 2x = 5 × 9 - 2 × 7
= 45 - 14
= 31
y/x - 2 = 9/7 -2 = -5/7.
5y - 2x = 31
y/x - 2 = -5/7.
Therefore, the values of (5y - 2x) and y/x - 2 are 31 and -5/7 respectively.
✦ Try This: If 2x + y = 23 and 4x - y = 19, find the values of y - 2x and 5y/ x - 2
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3
NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 7
If 2x + y = 23 and 4x - y = 19, find the values of 5y - 2x and y/ x - 2
Summary:
If 2x + y = 23 and 4x - y = 19, the values of 5y - 2x and y/ x - 2 are 31 and -5/7 respectively.
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