The equations 3x + 4y = 10 and -x + 2y = 0, have the solution (a, b). The value of a + b is:
A. 1
B. 2
C. 3
D. 4
Answer: Option C
Solution (By Examveda Team)
3x + 4y = 10 . . . . . . . (i)-x + 2y = 0 . . . . . . . (ii)
On solving both the equation
3(2y) + 4y = 10
10y = 10
y = 1
∴ x = 2 × 1 = 2
∴ Solution (a, b) = (2, 1)
∴ a + b = 2 + 1 = 3
Related Questions on Coordinate Geometry
In what ratio does the point T(x, 0) divide the segment joining the points S(-4, -1) and U(1, 4)?
A. 1 : 4
B. 4 : 1
C. 1 : 2
D. 2 : 1
A. 2x - y = 1
B. 3x + 2y = 3
C. 2x + y = 2
D. 3x + 5y = 1
If a linear equation is of the form x = k where k is a constant, then graph of the equation will be
A. a line parallel to x-axis
B. a line cutting both the axes
C. a line making positive acute angle with x-axis
D. a line parallel to y-axis

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