Jesupsalmlayronidn
Answered

IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto at komunidad. Makakuha ng mga kumpletong sagot sa lahat ng iyong mga tanong mula sa aming network ng mga eksperto.

Lesson 2: Solving Systems of Linear Equations in Two Variables by Substitution Let's Do More: Find the Hive Two bees each found a food source. The first bee's path back to the hive follows the line y = 2x + 7. The second bees path follows the line 4x + y = 31. Their path cross at the hive. Find the coordinate of the hive. Solve this problem by Substitution.​

Sagot :

NataleighScottlynidn

Problem:

Find the Hive Two bees each found a food source. The first bee's path back to the hive follows the line y = 2x + 7. The second bees path follows the line 4x + y = 31. Their path cross at the hive. Find the coordinate of the hive. Solve this problem by Substitution.

Solution:

Solve the systems of linear equation in two variables by substitution method.

  • y = 2x + 7 and 4x + y = 31

Substitute the expression for y into the second equation. Then, solve the equation.

  • 4x + y = 31
  • 4x + (2x + 7) = 31
  • 6x + 7 = 31
  • 6x = 31 - 7
  • 6x = 24/6
  • x = 4

Substitute the value into the value of x to the equation and solve.

  • y = 2x + 7
  • y = 2(4) + 7
  • y = 8 + 7
  • y = 15

Checking:

Check the values of the variables obtained by substituting to the linear equations in the system.

  • x = 4 and y = 15

Equation 1:

  • y = 2x + 7
  • (15) = 2(4) + 7
  • 15 = 8 + 7
  • 15 = 15 ✔

Equation 2:

  • 4x + y = 31
  • 4(4) + (15) = 31
  • 16 + 15 = 31
  • 31 = 31 ✔

Answer:

∴ Therefore, the solution of set is {4, 15}.

#CarryOnLearning

Ang iyong presensya ay mahalaga sa amin. Patuloy na magbahagi ng iyong karanasan at kaalaman. Ang iyong ambag ay napakahalaga sa aming komunidad. Salamat sa pagbisita sa IDNStudy.com. Nandito kami upang magbigay ng malinaw at tumpak na mga sagot.