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The school that Jill attends is selling tickets to a play.

- On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for a total of $50.
- On the second day, the school took in $131 by selling 13 senior citizen tickets and 10 child tickets.

What is the price of one senior citizen ticket and one child ticket?

Answer :

In Linear equation, C = $4 for a child ticket .

What is a linear equation example?

  • Ax+By=C is the usual form for two-variable linear equations.
  • As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).
  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

6S+ 2C = 50

13S+ 10C = 131

30S + 10C = 250

13S+ 10C = 131

subtract to eliminate one variable

17S = 119

S = 119/17

S = $7 for a senior ticket

2C = 50 - 6S = 50 - 6 * 7

= 50 - 42

2C = $8

C = $4 for a child ticket

Learn more about linear equation

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