Question
Solve for x and y:
2x - 3y = 13,
7x - 2y = 20
2x - 3y = 13,
7x - 2y = 20
✓
Answer
The given equation are: 2x - 3y = 13 ...(1) 7x - 2y = 20 ...(2) On multiplying (1) by 2 and (2) by 3, we get: 4x - 6y = 26 ...(3) 21x - 6y = 60 ...(4) On subtracting (3) and (4), we get: 17x = 34 x = 2 On substituting the value of x = 2 in (1), we get: 2 × 2 - 3y = 13⇒ 4 - 3y = 13
-3y = 13 - 4
⇒ -3y = 9 y = -3 $\therefore$ Solution is x = 2 and y = -3
-3y = 13 - 4
⇒ -3y = 9 y = -3 $\therefore$ Solution is x = 2 and y = -3
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
For the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.
$\frac{21}{8},\frac{5}{16}$
→$\frac{21}{8},\frac{5}{16}$
In the given figure, a triangle $\text{ABC}$ is drawn to circumscribe a circle of radius $2 \ cm$ such that the segments $B D$ and $D C$ into which $B C$ is divided by the point of contact $D$ are of lengths $4 \ cm$ and $3 \ cm$ respectively. If area of $\triangle A B C=21 \ cm^2,$ then find the lengths of sides $A B$ and $A C$.
→If the point $P (k-1,2)$ is equidistant from the points $A (3, k)$ and $B (k, 5)$, find the values of $k$.
→Water in a canal 1.5m wide and 6m deep is flowing with a speed of 10km/hr. How much area will it irrigate in 30 minutes if 8cm of standing water is desired?
A flag-staff stands on the top of a 5m high tower. From a point on the ground, the angle of elevation of the top of the flag-staff is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the flag-staff.
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days student was absent.
|
Number of days
|
0-6
|
6-10
|
10-14
|
14-20
|
20-28
|
28-38
|
38-40
|
|
Number of students
|
11
|
10
|
7
|
4
|
4
|
3
|
1
|
Rain water, which falls on a flat rectangular surface of length $6\ m$ and breadth $4\ m$ is transferred into a cylindrical vessel of internal radius $20\ cm$. What will be the height of water in the cylindrical vessel if a rainfall of 1cm has fallen?
→In the following, find the value of k for which the given value is a solution of the given equation:
$\text{kx}^2+\sqrt{2}\text{x}-4=0,\text{x}=\sqrt{2}$
→$\text{kx}^2+\sqrt{2}\text{x}-4=0,\text{x}=\sqrt{2}$
$\triangle\text{ABD}$ is a right triangle right-angled at A and $\text{AC}\perp\text{BD}.$ Show that
$AC^2 = BC \times DC$
→$AC^2 = BC \times DC$
Find the value(s) of p in (i) to (iv) and p and q in (v) for the following pair of equations:
$3x - y - 5 = 0$ and $6x - 2y - p = 0,$
If the lines represented by these equations are parallel.
→$3x - y - 5 = 0$ and $6x - 2y - p = 0,$
If the lines represented by these equations are parallel.