Question

Which table of values could be generated by the equation 10x + 5y = 15?
A. X | Y
0 | 1.5
1 | 2
2 | 2.5
B. X | Y
0 | 3
1 | 1
2 | -1
C. X | Y
0 | 1.5
1 | 1
2 | 0.5
D. X | Y
0 | 3
1 | 5
2 | 7

Answer 1

Write the given equation AS FOLLOWS:
10x + 5y = 15
5y = 15 - 10x
Divide through by 5.
y = 3 - 2x

Test  x=0:  y = 3 - 2*0 = 3  =>  (0,3)     Correct for B
Test  x=1:.  y = 3 - 2*1 = 1    => (1,1)        Correct for B
Test x=2:   y = 3 - 2*2 = -1  => (2,-1)     Correct for B

Answer:  B