hugo received $100 for his bithday. He then saved $20 per week until he had a total of $460 to buy a printer. Use the equation to show how many weeks it took him to save the money.

18 weeks

Step-by-step explanation:

So, Hugo received $100 for his birthday.

He saved $20 per week. Let x denote the weeks that passed. Therefore:

This equation represents the total money y Hugo has after x weeks.

The printer cost $460. Thus, set y to $460:

Solve for x.

Subtract 100 from both sides:

Divide both sides by 20:

Therefore, it took Hugo 18 weeks to save up $460.

{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