Solve for x and y: 4x-3y=8, 6x-y=29 3 - Vidyadip

Question

Solve for x and y:
$\text{4x}-\text{3y}=8,$
$\text{6x}-\text{y}=\frac{29}{3}$

✓

Answer

The given equations are: $\text{4x}-\text{3y}=8\ \dots(1)$ $\text{6x}-\text{y}=\frac{29}{3}\ \dots(2)$ Multiply (1) by 2 and 2 by 3 $\text{4x}-\text{3y}=8\ \dots(3)$ $\text{18x}-\text{3y}=29\ \dots(4)$Subtracting (3) from (4), we get
$\text{14x}=21$ $\Rightarrow\text{x}=\frac{21}{14}=\frac{3}{2}$Substitution $\text{x}=\frac{3}{2}$ in (1), we get
$2\times\frac{3}{2}-\text{3y}=8$ $\Rightarrow6-\text{3y}=8$ $-\text{3y}=2$ $\Rightarrow\text{y}=\frac{-2}{3}$$\therefore$ Solution is $\text{x}=\frac{3}{2}$ and $\text{y}=\frac{-2}{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Linear Equation In Two Variable→Linear Equation In Two Variable — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

If the points P(a, -11), Q(5, b), R(2, 15) and S(1, 1) are the vertices of a parallelogram PQRS, find the value of a and b

If $r_1$ and $r_2$ denote the radii of the circular bases of the frustum of a cone such that $r_1 > r_2$, then write the ratio of the height of the cone of which the frustum is a part to the height fo the frustum.

Find the sum of first $51$ terms of an A.P. whose second and third terms are $14$ and $18 $respectively.

Walls of two buildings on either side of a street are parellel to each other. A ladder $5.8\ m$ long is placed on the street such that its top just reaches the window of a building at the height of $4\ m$. On turning the ladder over to the other side of the street , its top touches the window of the other building at a height $4.2\ m$. Find the width of the street.

A solid cube with edge 'l' was divided exactly into two equal halves. Find the ratio of the total surface area of the given cube and that of the cuboid formed.

The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.

The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50. Complete the missing frequencies $f_1$ and $f_2$

Class	0-20	20-40	40-60	60-80	80-100	100-120
Frequency	5	$f_1$	10	$f_2$	7	8

Prashant bought 50 shares of FV Rs. 100, having MV Rs. 180. Company gave 40% dividend on the shares. Find the rate of return on investment.

Find the number of terms of the A.P. $-12, -9, -6, ....., 21$. If $1$ is added to each term of this A.P., then find the sum of all terms of the A.P. thus obtained.

Very-Short-Answer Question:
If $(x + a)$ is a factor of $(2x^2 + 2ax + 5x + 10)$, find the value of a.