Question

5.3 solving systems of equations by substitution quiz

solve the system using substitution:

\\(y = 2x - 1\\)

\\(x + y = 11\\)

what is the value of x?

Explanation:

Identify the given system of equations

We are given a system of two linear equations:

1. \(y = 2x - 1\)
2. \(x + y = 11\)

Our target is to find the value of \(x\) using the Substitution Method.

Substitute the first equation into the second

Using the Substitution Method, we replace \(y\) in the second equation with the expression for \(y\) from the first equation:

$$x + (2x - 1) = 11$$

Simplify and solve for x

Using our understanding of Linear Equations, we combine like terms and isolate the variable \(x\):

$$3x - 1 = 11$$

$$3x = 12$$

$$x = 4$$

Answer:

What is the value of x? <blank>4</blank>