Question

Difficulty: EasySystems of Linear Equations

In the system of equations below, what is the value of $x$ ?

3x - y = 7

x + y = 5

Answer: 3

The value of

x

3

Adding the two equations eliminates

y

, resulting in

4x = 12

. Dividing by

4

gives

x = 3

Add the two equations to eliminate

y

4x = 12

Adding the equations

(3x - y) + (x + y) = 7 + 5

eliminates

y

because

-y + y = 0

Solve for

x

x = 3

Divide both sides of the equation

4x = 12

4

Solving a system of linear equations by elimination.

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