Question
If $\left[\begin{array}{cc}x+3 & 4 \\ y-4 & x+y\end{array}\right]=\left[\begin{array}{ll}5 & 4 \\ 3 & 9\end{array}\right]$, find values of $x$ and $y$
✓
Answer
$
\left[\begin{array}{cc}
x+3 & 4 \\
y-4 & x+y
\end{array}\right]=\left[\begin{array}{ll}
5 & 4 \\
3 & 9
\end{array}\right]
$
Comparing the corresponding terms, we get.
$
\begin{aligned}
& x+3=5 \\
& \Rightarrow x=5-3=2 \\
& \Rightarrow y-4=3 \\
& \Rightarrow y=3+4=7 \\
& x=2, y=7
\end{aligned}
$
\left[\begin{array}{cc}
x+3 & 4 \\
y-4 & x+y
\end{array}\right]=\left[\begin{array}{ll}
5 & 4 \\
3 & 9
\end{array}\right]
$
Comparing the corresponding terms, we get.
$
\begin{aligned}
& x+3=5 \\
& \Rightarrow x=5-3=2 \\
& \Rightarrow y-4=3 \\
& \Rightarrow y=3+4=7 \\
& x=2, y=7
\end{aligned}
$
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
Calculate the investment required to buy:
500 shares of Rs 75 each at a premium of Rs 17.
500 shares of Rs 75 each at a premium of Rs 17.
A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is: red
Solve : 1 ≥ 15 – 7x > 2x – 27, x ∈ N
If two coins are tossed once, what is the probability of getting: at least one head.
Find the fourth proportional to 3, 12, 15
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
In a single throw of die, find the probability of getting: 8
Find the mid – point of the line segment joining the point: (5, -3) and (-1, 7)
With out Pythagoras theorem, show that $A(4, 4), B(3, 5)$ and $C(-1, -1)$ are the vertices of a right angled.
→Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude.