2 Answers

Funmi · Answer 1 · 2024-03-23T06:46:51+0000

Answer:

The solution to the system of linear equations is x = 4, y = 1.

Explanation:

Given system of linear equations:

$\begin{cases}4x-2y=14\\y=(1)/(2)x-1\end{cases}$

To solve the system of linear equations by the method of substitution, substitute the second equation into the first equation:

$\implies 4x-2\left((1)/(2)x-1\right)=14$

Solve the equation for x:

$\implies 4x-x+2=14$

$\implies 3x+2=14$

$\implies 3x=12$

$\implies x=4$

Substitute the found value of x into the second equation and solve for y:

$\implies y=(1)/(2)(4)-1$

$\implies y=2-1$

$\implies y=1$

Therefore, the solution to the system of linear equations is:

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