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10. Jordan and Jake are saving money from their newspaper route earnings. Their savings s, in dollars, are related to the time t, in weeks, after they start working. Jordan’s savings are given by the equation. s = 60t + 25, and Jake’s are given by the equation s = 100 + 45t. What is the meaning of the solution of the system of equations?



Answer :

Using substitution method to solve the system of linear equation, they will save $325 after 5 weeks

System of Linear Equation

System of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.

In the question given, the system of linear equations are;

s = 60t + 25 ...eq(i)

s = 100 + 45t ...eq(ii)

  • s = Amount saved
  • t = number of weeks

From equation (i)

s = 60t + 25

Put eq(i) into eq(ii)

60t + 25 = 100 + 45t

60t - 45t = 100 - 25

15t = 75

t = 5

Put t = 5 into equ (i)

s = 60(5) + 25

s = 325

The meaning is that at week 5, they will saved $325

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