Question

Solve this system using Substitution y=5x - 16x + 2y = 14

Answer 1

The solution to the system of equations is;

`\begin{gathered} x=1 \\ y=4 \end{gathered}`

Step-by-step explanation:

Given the system of equation;

`\begin{gathered} y=5x-1\text{ ---------1} \\ 6x+2y=14\text{ ----------2} \end{gathered}`

Let us solve by substitution;

substitute equation 1 to 2;

`\begin{gathered} 6x+2(5x-1)=14 \\ 6x+10x-2=14 \\ 16x-2=14 \\ 16x=14+2 \\ 16x=16 \\ x=(16)/(16) \\ x=1 \end{gathered}`

since we have the value of x, let us substitute into equation 1 to get the value of y;

`\begin{gathered} y=5x-1 \\ y=5(1)-1 \\ y=4 \end{gathered}`

Therefore, the solution to the system of equations is;

`\begin{gathered} x=1 \\ y=4 \end{gathered}`