Question 1

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

Y=-4x

Question 2

Explanation:

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

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

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

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

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

$\mathtt{-7x=14}$

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

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

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

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

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

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

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

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

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

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

$\mathtt{8=8} \ \checkmark$

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

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