12x-3y=-3 6x+y=1

Solving systems of equations

Solve the second equation for y

Substitute the given value of y into the first equation

Distribute -3 through the parentheses

Cancel equal terms on both sides of the equation

Collect like terms then divide both sides of equation by 30

Substitute the given value of x into the equation y=1-6x

Solve for y

The possible solution of the system is the ordered pair (x,y)

.19875994384

step-by-step explanation:

1699/ 8548

- "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."