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Sagot :
Answer:
[tex]\text{ B\rparen Multiply first equation by -2 and second equation by 3, solution \lparen1,1\rparen}[/tex]Step-by-step explanation:
Solve the following system of equations using the elimination method.
The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.
Therefore,
[tex]\begin{gathered} 3x-5y=-2\text{ * \lparen-2\rparen = -6x+10y=4} \\ 2x+y=3\text{ * \lparen3\rparen = 6x+3y=9} \end{gathered}[/tex]Now, compute and solve for ''y'':
[tex]\begin{gathered} 13y=13 \\ y=\frac{13}{13} \\ y=1 \\ \end{gathered}[/tex]Then, plug the ''y'' value into one of the functions:
[tex]\begin{gathered} x=\frac{3}{2}-\frac{y}{2} \\ x=\frac{3}{2}-\frac{1}{2} \\ x=\frac{2}{2}=1 \end{gathered}[/tex]Hence, the solution of the system is (1,1).
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