Question
Solve : $3 x-2 y=3 ; 2 x+y=16$
✓
Answer
$x=5, y=6$
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
A box contains cards bearing numbers $6$ to $70.$ If one card is drawn at random from the box, find the probability that it bears:
→-
A one-digit number.
-
A number divisible by $5.$
-
An odd number less than $30.$
-
A composite number between $50$ and $70.$
Show that $\triangle\text{ABC},$ with where A(22, 0), B(2, 0) and C(0, 2) and $\triangle\text{PQR}$ where P(-4, 0), Q(4, 0) and R(0, 4) are similar triangles.
→In the adjoining figure, ABCD is a trapezium in which CD || AB and its digonals intersect at O. If AO = (2x + 1)cm, OC = (5x - 7)cm, DO = (7x - 5)cm and OB = (7x + 1)cm, find the value of x.
From the top of the light house, an observer looks at a ship and finds the angle of depression to be 30°. If the height of the light-house is 100 meters, then find how far the ship is from the light-house.
In the following, determine whether the given values are solution of the given equation or not:
$\text{a}^2\text{x}^2-3\text{abx}+2\text{b}^2=0,$ $\text{x}=\frac{\text{a}}{\text{b}},\text{x}=\frac{\text{b}}{\text{a}}$
→$\text{a}^2\text{x}^2-3\text{abx}+2\text{b}^2=0,$ $\text{x}=\frac{\text{a}}{\text{b}},\text{x}=\frac{\text{b}}{\text{a}}$
If the mean of the following data is 20.6. Find the value of p.
| x | 10 | 15 | p | 25 | 35 |
| y | 3 | 10 | 25 | 7 | 5 |
Show that $A (1, 2) , (1, 6), C (1+2 \sqrt{3}, 4)$ are vertices of an equilateral triangle.
→Solve the following quadratic equations by factorisation : 6√3 x² + 7x = √3
The centre of a circle is $(2a, a - 7)$. Find the values of a if the circle passes through the point $(11, -9)$ and has diameter $10\sqrt{2}$ units.
→A sailor goes 8km downstream in 40 minutes and returns in 1 hours. Determine the speed of the sailor in still water and the speed of the current.