Download App

Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices3 Marks
Question
Solve for $x$ and $y :\left[\begin{array}{ll}x+y & x-4\end{array}\right]\left[\begin{array}{cc}-1 & -2 \\ 2 & 2\end{array}\right]=\left[\begin{array}{ll}-7 & -11\end{array}\right]$
✓

Answer

$\left[\begin{array}{ll}x+y & x-4\end{array}\right]\left[\begin{array}{cc}-1 & -2 \\ 2 & 2\end{array}\right]=\left[\begin{array}{ll}-7 & -11\end{array}\right]$
$[-x-y+2 x-8 -2 x -2 y+2 x-8]=[-7 -11]$
$[-y+x-8 -2 y-8]=[-7 -11]$
Comparing the corresponding elements, we get,
$-2 y-8=-11 $
$\Longrightarrow-2 y=-3 $
$\Longrightarrow y=\frac{3}{2}$
$ -y+x-8=-7$
$ \Rightarrow-\frac{3}{2}+x-8=-7$
$ \Rightarrow x=1+\frac{3}{2}=\frac{5}{2}$

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 sum]" from Matrices→Matrices — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

 1000 families with 2 children were selected randomly , and the following data were recorded :
Number of girls in a family012
Number of families333 392275
Find the probability of a family , having
(i) 1 girl 
→
Solve : $\sin^2\theta - 3 \sin \theta + 2 = 0 .$
→
If $(3x - 9) : (5x + 4)$ is the triplicate ratio of $3 : 4,$ find the value of x.
→
From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will : be a face card.
→
A line intersects x-axis at point (−2, 0) and cuts off an intercept of $3$ units from the positive side of y-axis. Find the equation of the line.
→
Find the mean proportion of the following :
$0.09$ and $0.25$
→
Solve the following quadratic equation using formula method only
$3 x ^2-5 x +\frac{25}{12}=0$
→
If $P =\{x: 7x — 4 > 5x + 2, x \in R\}$ and $Q = \{x: x — 19 \geq 1 — 3x, x \in R\},$ find the range of set $P \cap Q$ and represent it on a number line.
→
Solve the following quadratic equation using formula method only
$6x^2 + 7x - 10 = 0$
→
If $0^\circ < A < 90^\circ;$ Find A, if :
$\frac{\cos A}{1-\sin A}+\frac{\cos A}{1+\sin A}=4$
→