Question

Use substitution to solve the system. y = 2x +1 3x-2y = -4 what does x and y equal?

Answer 1

x =2

y = 5

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} y=2x+1\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\ldots..(1) \\ \\ 3x-2y=-4\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}`

Substitute the expression for y in equation (1) into equation (2)

`\begin{gathered} 3x-2(2x+1)=-4 \\ \\ 3x-4x-2=-4 \\ \\ -x-2=-4 \end{gathered}`

Multiply both sides of the equation by -1

`x+2=4`

Subtract 2 from both sides of the equation

`\begin{gathered} x+2-2=4-2 \\ \\ x=2 \end{gathered}`

Substitute x = 2 into equation (1)

`\begin{gathered} y=2(2)+1 \\ =4+1 \\ =5 \end{gathered}`

Therefore,

x = 2, and y = 5