Question

Match the system of equations on the left with the appropriate solution on the right.

Answer 1

Answer:

$x=7-2y$        $(1,3)$

$3x+6y=-9$      $(-1,-1)$

$4x-2y-3$       $\text{no solution}$

$2x+4y=7$      $\text{infinite number of solutions}$

$x=-2y-3$     $(1,-2)$

Step-by-step explanation:

1:   $x=7-2y$

    $\Rightarrow x+2y=7$

    $\Rightarrow (1,3)\;\text{is a solution of the above equation}.$

2:    $3x+6y=-9$

      $\Rightarrow 3(-1)+6(-1)=-3-6=-9$

      $\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.$

3:    $4x-2y-3$

      $\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}$

4:    $2x+4y=7$

     $\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}$

5:    $x=-2y-3$

     $\Rightarrow x+2y=-3$

     $\Rightarrow 1-2(-2)=1-4=-3$

    $\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.$