What is the value of the expression below when z, equals, 7z=7 and w, equals, 4w=4?

4, z, plus, w

1 answer

Let's first solve for \( z \) and \( w \) from the equations given.

  1. From the equation \( 7z = 7 \), divide both sides by 7: \[ z = 1 \]

  2. From the equation \( 4w = 4 \), divide both sides by 4: \[ w = 1 \]

Now substituting the values of \( z \) and \( w \) into the expression \( 4z + w \): \[ 4z + w = 4(1) + 1 = 4 + 1 = 5 \]

Therefore, the value of the expression \( 4z + w \) is \( \boxed{5} \).