Question

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

Answer 1

Answer:

x = 5/3 , y = -1

Step-by-step explanation:

Given:

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

Solve:

$\mathrm{Substitute\:}x=\frac{4-y}{3}$

$\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}$

$\mathrm{Simplify}$

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

$\mathrm{For\:}x=\frac{4-y}{3}$

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

$x=\frac{4-\left(-1\right)}{3}$

$\mathrm{Simplify}$

$x=\frac{5}{3}$

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

$x=\frac{5}{3},\:y=-1$

3(5/3) + -1

5-1 = 4

True

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

10 -4 = 6

True

~lenvy~