Question

Complete the table of values for the following equation.
8x + 6y = 26

x-values y-values
-5 11
7
1 3
4
7 -5
10

Select the best answer from the choices provided.

x-values y-values
-5 11
-2 7
1 3
4 -1
7 -5
10 -9


x-values y-values
-5 11
-3 7
1 3
4 -2
7 -5
10 -9


x-values y-values
-5 11
-2 7
1 3
4 -2
7 -5
10 -7


x-values y-values
-5 11
-1 7
1 3
4 -3
7 -5
10 -7

Answer 1

just a matter of subbing

8x + 6y = 26.....when x = 7 8x + 6y = 26...when x = 4
8(7) + 6y = 26 8(4) + 6y = 26
56 + 6y = 26 32 + 6y = 26
6y = 26 - 56 6y = 26 - 32
6y = - 30 6y = - 6
y = -5 y = -1

so when x = 7, y = -5 so when x = 4, y = -1

try another number.. 8x + 6y = 26.....when x = 10
8x + 6y = 26...when x = -2 8(10) + 6y = 26
8(-2) + 6y = 26 80 + 6y = 26
-16 + 6y = 26 6y = 26 - 80
6y = 26 + 16 6y = - 54
6y = 42 y = -9
y = 7

so when x = -2, y = 7 so when x = 10, y = -9

so which one has numbers that match ^^ these numbers ??