Question

HELP FAST 25. What is the value of x in the solution to this system of equations?y + 2x = -1y=x+4AB-2C-103D 3

Answer 1

Solving the two given equation simultaneously to solve for x and y using the substitution method

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

Since y is defined from the second equation, we substitute for y in the first equation to get

`\begin{gathered} (1)/(2)x+4+2x=-1 \\ \text{collect like terms} \\ (1)/(2)x+2x=-1-4 \\ (x+4x)/(2)=-5 \\ (5x)/(2)=-5 \\ 5x=-2*5 \\ 5x=-10 \\ x=-(10)/(5) \\ x=-2 \end{gathered}`

Hence, the value of x=-2