Respuesta :
Answer:
[tex]x=7-2y[/tex] [tex](1,3)[/tex]
[tex]3x+6y=-9[/tex] [tex](-1,-1)[/tex]
[tex]4x-2y-3[/tex] [tex]\text{no solution}[/tex]
[tex]2x+4y=7[/tex] [tex]\text{infinite number of solutions}[/tex]
[tex]x=-2y-3[/tex] [tex](1,-2)[/tex]
Step-by-step explanation:
1: [tex]x=7-2y[/tex]
[tex]\Rightarrow x+2y=7[/tex]
[tex]\Rightarrow (1,3)\;\text{is a solution of the above equation}.[/tex]
2: [tex]3x+6y=-9[/tex]
[tex]\Rightarrow 3(-1)+6(-1)=-3-6=-9[/tex]
[tex]\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.[/tex]
3: [tex]4x-2y-3[/tex]
[tex]\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}[/tex]
4: [tex]2x+4y=7[/tex]
[tex]\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}[/tex]
5: [tex]x=-2y-3[/tex]
[tex]\Rightarrow x+2y=-3[/tex]
[tex]\Rightarrow 1-2(-2)=1-4=-3[/tex]
[tex]\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.[/tex]
