Question

3x + y = 4 6x + 4y = 6 equivalent equation and solution

Answer 1

x = 5/3 , y = -1

Explanation:

Given:

`\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}`

Solve:

`\mathrm{Substitute\:}x=(4-y)/(3)`

`\begin{bmatrix}6\cdot (4-y)/(3)+4y=6\end{bmatrix}`

`\mathrm{Simplify}`

`\begin{bmatrix}2y+8=6\end{bmatrix}`

`\mathrm{For\:}x=(4-y)/(3)`

`\mathrm{Substitute\:}y=-1`

`x=(4-\left(-1\right))/(3)`

`\mathrm{Simplify}`

`x=(5)/(3)`

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`x=(5)/(3),\:y=-1`

3(5/3) + -1

5-1 = 4

True

6(5/3) + 4(-1)

10 -4 = 6

True

~lenvy~