Choose the correct answer from the given four options.If 2x+y&4x … - Vidyadip

MCQ

Choose the correct answer from the given four options.If $\begin{bmatrix}2\text{x}+\text{y}&4\text{x}\\5\text{x}-7&4\text{x}\end{bmatrix}=\begin{bmatrix}7&7\text{y}-13\\\text{y}&\text{x}+6\end{bmatrix},$ then the value of x + y is:

A
x = 3, y = 1
✓
x = 2, y = 3
C
x = 2, y = 4
D
x = 3, y = 3

✓

Answer

Correct option: B.

x = 2, y = 3

We have, $\begin{bmatrix}2\text{x}+\text{y}&4\text{x}\\5\text{x}-7&4\text{x}\end{bmatrix}=\begin{bmatrix}7&7\text{y}-13\\\text{y}&\text{x}+6\end{bmatrix}$
⇒ 4x = x + 6 ⇒ x = 2

and 4x = 7y - 13

⇒ 8 = 7y - 13

⇒ y = 3

$\therefore$ x + y = 2 + 3 = 5

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 "M.C.Q (1 Marks)" from MATRICES→MATRICES — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $f(x + ay,\;x - ay) = axy$, then $f(x,\;y)$ is equal to

The system of equations $kx + y + z =1$ $x + ky + z = k$ and $x + y + zk = k ^{2}$ has no solution if $k$ is equal to

Let $\vec{a}=6 \hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=\hat{i}+\hat{j}$. If $\vec{c}$ is a is vector such that $|\vec{c}| \geq 6, \vec{a} \cdot \vec{c}=6|\vec{c}|,|\vec{c}-\vec{a}|=2 \sqrt{2}$ and the angle between $\vec{a} \times \vec{b}$ and $\vec{c}$ is $60^{\circ}$, then $|(\vec{a} \times \vec{b}) \times \vec{c}|$ is equal to:

Let $R = \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\}$ be a relation on the set $A = \{1, 2, 3, 4\}$. The relation $R$ is

The differential equation satisfied by $\text{ax}^{2}+\text{by}^{2}=1$ is:

One coin is thrown $100$ times. The probability of coming tail in odd number

Using determinants, find the area $($in sq. units$)$ of triangle with vertices $(-3,5),(3,-6)$ and $(7,2)$.

If $\theta$ is the angle between two vectors $\vec{\text{a}}$ and $\vec{\text{b}},$ then $\vec{\text{a}}.\vec{\text{b}}\geq0$ only when:

If $\int\limits_n^{n + 1} {f(x)dx = {n^2} + n\,;\,\forall \,n\, \in \,I,} $ then value of $\int\limits_{ - 3}^3 {f(x)dx} $ is equal to

Let $f$ be a differentiable function satisfying the relation $f(xy) = xf(y) + yf(x) -2xy$ (where $x,y > 0)$ and $f'(1) = 3$, then