Question

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

Answer 1

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

NO SOLUTION

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