1 Answer

Sean Cogan · Answer 1 · 2023-01-31T17:19:15+0000

Let us write out the equation,

$\begin{gathered} 3x+y=6\ldots\ldots\text{.}.1 \\ y=-4x+5\ldots\ldots2 \end{gathered}$

We will apply the method of substitution to resolve the equations.

Let us make y the subject of the formula in equation 1,

$\begin{gathered} 3x+y=6 \\ y=6-3x\ldots\ldots\ldots.3 \end{gathered}$

Let us substitute the value of y=6-3x into equation 2, and solve for x

$\begin{gathered} 6-3x=-4x+5 \\ \text{collect like terms} \\ -3x+4x=5-6 \\ x=-1 \end{gathered}$

Let us solve for y by substituting the value of x= -1 into equation 3.

$\begin{gathered} y=6-3x \\ y=6-3(-1) \\ y=6+3 \\ y=9 \end{gathered}$

Hence, the solution of the equation is (x,y)= (-1,9).

The correct option is option 1.

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