Question

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

Answer 1

x = 3, y = 1

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~