Question

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

Answer 1

Answer:

x =2

y = 5

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