Question

Y=3x+14 Solve the system by substitution (show work)

Y=-4x

Answer 1

Explanation:

`\textsf{We are asked to solve the system of equations.}`

`\textsf{Let's begin by substituting in 4x for y. As given.}`

`\large\underline{\textsf{Substitute:}}`

`\mathtt{-4x=3x+14}`

`\large\underline{\textsf{Subtract 3x from both sides:}}`

`\mathtt{-7x=14}`

`\large\underline{\textsf{Divide by -7:}}`

`\mathtt{(-7x)/(-7) =(14)/(-7) }`

`\boxed{\mathtt{x=-2}}`

`\textsf{Now that we know x, we can substitute -2 for x in -4x to find y.}`

`\large\underline{\textsf{Substitute:}}`

`\mathtt{y=-4(-2)}`

`\boxed{\mathtt{y=8}}`

`\large\underline{\textsf{Check!}}`

`\mathtt{-4(-2)=3(-2)+14}`

`\mathtt{8=-6+14}`

`\mathtt{8=8} \ \checkmark`

`\textsf{We have solved the system of equations.}`