Respuesta :

The given equation is

[tex]2x+3y=7[/tex]

To find a solution we must choose a value of x, then find the corresponding value of y

Let us choose x = 2

Substitute x in the equation by 2

[tex]2(2)+3y=7[/tex]

Then let us find the value of y

[tex]4+3y=7[/tex]

Subtract 4 from both sides

[tex]\begin{gathered} 4-4+3y=7-4 \\ 3y=3 \end{gathered}[/tex]

Divide both sides by 3

[tex]\begin{gathered} \frac{3y}{3}=\frac{3}{3} \\ y=1 \end{gathered}[/tex]

The solution is (2, 1)

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