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Ch. 5 - Systems of Equations and Inequalities
Blitzer - College Algebra 8th Edition
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Tutti i libri di testoBlitzer 8th EditionCh. 5 - Systems of Equations and InequalitiesProblema 19
Capitolo 6, Problema 19

In Exercises 19–30, solve each system by the addition method. x + y = 1 x - y = 3
Exercise 19: Solve the system of equations x + y = 1 and x - y = 3 using the addition method.

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Write down the system of equations clearly: x+y=1x−y=3.
Add the two equations together to eliminate y: (x + y) + (x - y) = 1 + 3. Notice that +y and -y cancel out.
Simplify the resulting equation: 2x = 4. This gives you an equation with only one variable.
Solve for x by dividing both sides of the equation by 2: x = \(\frac{4}{2}\).
Substitute the value of x back into one of the original equations (for example, x + y = 1) to solve for y. Rearrange to find y = 1 - x.

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