Question

10. Qual das representações gráficas a seguir cor- responde às soluções da equação 2x + y = 3, considerando x e y números reais?​

Answer 1

$\boxed{\begin{array}{l}\rm 2x+y=3\\\rm isolando\,y\,temos:\\\rm y=-2x+3\\\underline{\sf intersecc_{\!\!,}\tilde ao\,do\,gr\acute afico\,com\,o\,eixo\,x}\\\rm -2x+3=0\\\rm 2x=3\\\rm x=\dfrac{3}{2}\implies A\bigg(\dfrac{3}{2},0\bigg)\\\underline{\rm intersecc_{\!\!,}\tilde ao\,do\,gr\acute afico\,com\,o\,eixo\,y:}\\\rm y=-2\cdot0+3\\\rm y=3\implies B(0,3)\\\boxed{\begin{array}{c|c}\rm x&\rm y\\\rm\dfrac{3}{2}&\rm0\\\\\rm 0&\rm3\end{array}}\\\rm A\,representac_{\!\!,}\tilde ao\,est\acute a\,anexa\end{array}}$