Which of the following is a solution to the equation: -4x + 8y = 4
x = -3, y = -2
O x = 2, y = 3
O x = 2, y = 2
O x = 3, y = 2 soemone tell me which one-

It's the last one where x=3 and y=2

Explanation:

Replace x and y with 3 and 2. It then becomes

-4(3) + 8(2) = 4

Solve. -4 × 3 is -12 since a positive times a negative equals a negative. 8 × 2 is 16. Bring down the 4.

-12 + 16 = 4

When solving something like this and you don't know what to do or how to solve it, you can subtract the smaller number from the larger number and then whether the sum is a negative or positive depends on the largest number. So here, 16 is the largest, so the sum will be positive. And 16-12 is 4, so the final answer is positive 4. You can also look at a number line and start from -12 and then add 16 and see which number you end at after adding 16.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."