Question

Solve the system of equations using substitution. (If there is no solution, enter NO SOLUTION.)x − 2y = −14x − 3y = 16(x, y) =

Answer 1

Step-by-step explanation

Given the equation

`\begin{gathered} x−2y=−1 \\ 4x−3y=16 \end{gathered}`

From equation 1

`x=2y-1`

Substitute the above in equation 2

`\begin{gathered} 4(2y-1)-3y=16 \\ 8y-4-3y=16 \\ 5y=16+4 \\ 5y=20 \\ y=(20)/(5) \\ y=4 \end{gathered}`

Substitute y=4 into x=2y-1. Therefore;

`\begin{gathered} x=2(4)-1 \\ x=8-1=7 \end{gathered}`

Answer: (x,y) = (7,4)