Question

Complete the table below to find the solution to the linear equation -10x - y equals -20

Answer 1

EXPLANATION

Considering the table below and the equation -10x -y = -20, we can fill it as follows:

-10x -y = -20

Adding +10x to both sides:

-y = -20 + 10x

Dividing both sides by -1:

y = 20 - 10x

x y= 20 - 10x (x,y)

-- --------------------------- -----------

0 y= 20 - 10(0)= 20 (0,20)

1 y= 20 - 10(1) = 20 -10= 10 (1,10)

0 = 20 - 10(x) --> Adding +10x to both sides:

10x = 20 --> Dividing both sides by 10:

2 x= 20/10 = 2 --> (2,0)

So, rearranging the table:

x y (x,y)

-- --------------------------- -----------

0 20 (0,20)

1 10 (1,10)

2 0 (2,0)