Harry's school is selling t-shirts to raise money for the archery team. the school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. what is the meaning of the x-intercept in the equation?

X-intercept states that the graph crosses the x-axis.

Substitute y = 0 and solve for x.

As per the statement:

Harry's school is selling t-shirts to raise money for the archery team.

The school will receive 35% of the total sales which can be modeled by the equation:

y = 0.35x

where, x represents the total number of sales and y represents the total cost of sale.

By definition of x-intercept:

0 = 0.35x

⇒x = 0

Therefore, the x-intercept in the equation represents:

The number of sales when no money has been raised.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1