Question

If 4x - 3y = 19 and x + 2y = 13, what are the respective values of x and y?

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{4x-3y=19\;\;and\;\;x+2y=13}$

$\underline{\textbf{To find:}}$

$\textsf{The values of x and y}$

$\underline{\textbf{Solution:}}$

$\mathsf{4x-3y=19}$-----------(1)

$\mathsf{x+2y=13}$

$\implies\mathsf{x=13-2y}$----------(2)

$\textsf{Using (2) in (1), we get}$

$\mathsf{4(13-2y)-3y=19}$

$\mathsf{52-8y-3y=19}$

$\mathsf{-8y-3y=19-52}$

$\mathsf{-11y=-33}$

$\mathsf{y=\dfrac{-33}{-11}}$

$\implies\boxed{\mathsf{y=3}}$

$\mathsf{Put\;y=3\;in\;(2)}$

$\mathsf{x=13-2(3)}$

$\mathsf{x=13-6}$

$\implies\boxed{\mathsf{x=7}}$

$\underline{\textbf{Answer:}}$

$\textbf{The values of x and y are 7 and 3}$

Answer 2

Answer:

The values of $\mathrm{x}$and $\mathrm{y}$ are 7 and 3

Step-by-step explanation:

Given,

4x - 3y = 19

x + 2y = 13

To find,

The  values of x and y.

Step 1

$4 x-3 y=19 \ldots(1)$

$x+2 y=13$$....(2)$

Using (2) in (1), we get

$4(13-2y)-3y=19$

$52-8y-3y=19$

$-8y-3y=19-52$

Simplifying,

$-11y=-33$

$y=\frac{-33}{-11}$

Then,

$\Longrightarrow y=3$

Put $y=3$ in (2)

$x=13-2(3)$

Simplifying,

$x=13-6$

We get,

$\Longrightarrow x=7$

The values of $\mathrm{x}$and $\mathrm{y}$ are 7 and 3

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