Question

Describe a situation that can be determined by using this system of equations*. Inspect the system to determine the number of solutions and interpret the solution within the context of your situation. *y=2x+10 and y=x+15. Plz answer ASAP, this is for a school assignment.

Answer 1

Solution:

This requires the knowledge of system of equations.

• y = 2x + 10

        y = x + 15

• y = 2x + 10

      2(y = x + 15)

• y = 2x + 10

      2y = 2x + 30

• (y - 2y) = (2x - 2x) + (10 - 30)
• => (y - 2y) = (10 - 30)
• => -y = -20
• => y = 20
• => y = 2x + 10
• => 20 = 2x + 10
• => 20 - 10 = 2x
• => 10 = 2x
• => x = 5

Final Answer(s):

• x = 5
• y = 20

Answer 2

y=2x+10

y=x+15

minus these both together

0=x-5

x=5

y=10+10

y=20

x=5

one solution