The graphs of the equations 7x + 11y = 3 and 8x + y = 15 intersect at the point P, which also lies on the graph of the equation:
A. 2x - y = 1
B. 3x + 2y = 3
C. 2x + y = 2
D. 3x + 5y = 1
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & 7x + 11y = 3\,\,\,\,*1 \cr & \underline {\,8x + y = 15\,} \,\,\,\,\,\underline {\,*11\,} \cr & \,\,7x + 11y = 3 \cr & \,\,88x + 11y = 165 \cr & \underline {\, - \,\,\,\,\,\,\,\,\, - \,\,\,\,\,\,\,\,\,\, - \,\,\,\,\,\,\,\,\,\,} \cr & - 81x = - 162 \cr & x = 2 \cr & y = 15 - 8 \times 2 \cr & y = - 1 \cr} $$ Put value of x and y in options only option 'D' satisfy in this values3x + 5y = 1
3 × 2 + 5 × (-1) = 1
6 - 5 = 1 = 1 [satisfied]
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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