Answer:
The filled table for each equation by using the exact values in the table is
10x+2y=56
x y
______________________
0 28
0
________________________
8x+3y=49
x y
_________________________
0
![(49)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5zxzu61mni1q016jzpfj82slsnwoyy947w.png)
0
_________________________
Explanation:
Given equations are 10x+2y=56 and 8x+3y=49
To fill the table for each equation by using the exact values in the table :
10x+2y=56
put x=0 in above equation we get
10(0)+2y=56
2y=56
![y=(56)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wnoncog98wijwip22ap70dloxk2qopjbad.png)
![y=28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tc23gev8uh1v3eh9iiyp5i3lhboxcp15ox.png)
Therefore (0,28)
put y=0 in the given equation 10x+2y=56 we get
10x+2(0)=56
10x=56
![x=(56)/(10)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q88iyr776ck5lk4m6t1e5829fq7yuzhfpi.png)
Therefore (
,0)
10x+2y=56
x y
_________________________
0 28
0
__________________________
For
8x+3y=49
put x=0 in above equation we get
8(0)+3y=49
3y=49
![y=(49)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n2aoph8nnv4c5ozvl8dv8o7vfd9ep68ixj.png)
Therefore (0,
)
put y=0 in the given equation 8x+3y=49 we get
8x+3(0)=49
8x=49
![x=(49)/(8)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/o9tgykpob0y565e31z00q0q76z23c206m8.png)
Therefore (
,0)
8x+3y=49
x y
_________________________
0
![(49)/(3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5zxzu61mni1q016jzpfj82slsnwoyy947w.png)
0
________________________