Question

X + 4y = 7 4x - 3y = 9 equivalent equation and solution

Answer 1

Answer:

x = 3, y = 1

Step-by-step explanation:

Given:

$\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}$

Solve:

$\mathrm{Substitute\:}x=7-4y$

$\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}$

$\mathrm{Simplify}$

$\begin{bmatrix}28-19y=9\end{bmatrix}$

$\mathrm{For\:}x=7-4y$

$\mathrm{Substitute\:}y=1$

$x=7-4\cdot \:1$

$\mathrm{Simplify}$

$x=3$

$\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}$

$x=3,y=1$

Check Answer:

3 + 4(1)

7 (1) = 7

True

4(3) - 3(1)

12 - 3 = 9

True

Hence, x = 3 , y =1

~lenvy~