Question

Use substitution to solve this system of an equation of y= 2x -4

Answer 1

A system of equations consists of at least two equations

The value of x is $\mathbf{x = \frac{y}2 +2}$

The equation is given as:

y = 2x - 4

The actual question is to solve for x.

So, we start by adding 4 to both sides of the equation

y +4 = 2x - 4 + 4

y +4 = 2x

Rewrite the equation as:

2x= y +4

Divide both sides of the equation by 2

$\mathbf{\frac{2x}2 = \frac{y +4}2}$

Divide 2x by 2

$\mathbf{x = \frac{y +4}2}$

Split the fraction

$\mathbf{x = \frac{y}2 +\frac{4}2}$

Simplify

$\mathbf{x = \frac{y}2 +2}$

Hence, the value of x is $\mathbf{x = \frac{y}2 +2}$

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