1 Answer

Gildniy · Answer 1 · 2023-11-24T16:40:20+0000

The equations are x-3y=1 and 2x-y=7.

Multiply the equation 2x-y=7 by 3 to make coefficents of y in both the equation equal.

$\begin{gathered} 3(2x-y)=3\cdot7 \\ 6x-3y=21 \end{gathered}$

Substarct the equation 6x-3y=21 from the equation x-3y=1 to eliminate the y terms from the equation.

$\begin{gathered} x-3y-(6x-3y)=1-21 \\ x-3y-6x+3y=1-21 \\ -5x=-20 \\ x=(-20)/(-5) \\ x=4 \end{gathered}$

Substitute 4 for x in equation 2x-y=7 to obtain the value of y.

$\begin{gathered} 2*4-y=7 \\ 8-y=7 \\ -y=7-8 \\ -y=-1 \\ y=1 \end{gathered}$

So the solution of equation is (4,1).

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