Question

Solve by elimination. 4x+6y=-12 2x+3y=4

Answer 1

Answer:

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}$

solving the system by the elimination method

$\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}$

$\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8$

$\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}$

subtracting the equations

$4x+6y=8$

$-$

$\underline{4x+6y=-12}$

$0=20$

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION