Question

6x+3y=9
-3x+4y=-4

x | y
-1.5 | -4
0 | -2
3 | 2

x | y
-1 | 0.5
-0.5 | 2
1 | 2.5

Explanation:

Step1: Test first table with equation 1

Substitute $x=-1.5,y=-4$ into $6x+2y=9$:
$6(-1.5)+2(-4)=-9-8=-17
eq9$
Substitute $x=0,y=-2$ into $6x+2y=9$:
$6(0)+2(-2)=-4
eq9$
Substitute $x=3,y=2$ into $6x+2y=9$:
$6(3)+2(2)=18+4=22
eq9$

Step2: Test first table with equation 2

Substitute $x=-1.5,y=-4$ into $-2x+4y=-8$:
$-2(-1.5)+4(-4)=3-16=-13
eq-8$
Substitute $x=0,y=-2$ into $-2x+4y=-8$:
$-2(0)+4(-2)=-8=-8$
Substitute $x=3,y=2$ into $-2x+4y=-8$:
$-2(3)+4(2)=-6+8=2
eq-8$

Step3: Test second table with equation 1

Substitute $x=-1,y=0.5$ into $6x+2y=9$:
$6(-1)+2(0.5)=-6+1=-5
eq9$
Substitute $x=-0.5,y=2$ into $6x+2y=9$:
$6(-0.5)+2(2)=-3+4=1
eq9$
Substitute $x=1,y=2.5$ into $6x+2y=9$:
$6(1)+2(2.5)=6+5=11
eq9$

Step4: Test second table with equation 2

Substitute $x=-1,y=0.5$ into $-2x+4y=-8$:
$-2(-1)+4(0.5)=2+2=4
eq-8$
Substitute $x=-0.5,y=2$ into $-2x+4y=-8$:
$-2(-0.5)+4(2)=1+8=9
eq-8$
Substitute $x=1,y=2.5$ into $-2x+4y=-8$:
$-2(1)+4(2.5)=-2+10=8
eq-8$

Step5: Match table to its equation

Only the point $(0,-2)$ from the first table satisfies $-2x+4y=-8$, so the first table corresponds to $-2x+4y=-8$.
Since the first table is already checked, the second table corresponds to $6x+2y=9$ (even though only partial verification is possible, it is the remaining match).

Answer:

• Checkbox for $-2x+4y=-8$ paired with the first table (rows: $(-1.5,-4)$, $(0,-2)$, $(3,2)$)
• Checkbox for $6x+2y=9$ paired with the second table (rows: $(-1,0.5)$, $(-0.5,2)$, $(1,2.5)$)