Question

y=4x+zx+6 Solve the literal equation for x

Answer 1

y = x(4+z)+6

y-6 = x(4+z)

x=(y-6)/(4+z)

Answer 2

The answer is x = $\frac{y -6}{4+z}$.

Given: y = 4x + zx + 6

To find: the literal solution of the equation for x

Solution:

y = 4x + zx + 6

⇒ y = x (4 + z) + 6

⇒ x (4 + z) = y - 6

⇒ x = $\frac{y -6}{4+z}$

Answer) The required equation is x = $\frac{y -6}{4+z}$.

Algebra

• Algebra refers to the mathematical expressions which are created in the form of equations using variables and constants. These expressions are further utilized as formulas, and we can substitute different values in the variables to find out the value of the expression.

• In the given question, we need to make the variable 'x' as the subject of the equation instead of y. For this, we need to bring x to the left-hand side of the equation.

• Since we have two elements with the variable x, we need to take common and make it into a single variable.

• An expression changes its sign to the opposite symbol when it is changed to the other side of the equals sign.

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