Question

What is Y=-3x+5
5x-4y=-3

Answer 1

y = -3x + 5
5x - 4y = -3

5x - 4(-3x + 5)
5x + 12x - 20 = -3
17x = -3 + 20
17x = 17
x = 17 / 17
x = 1

y = -3(1) + 5
y = -3 + 5
y = 2

Answer 2

`\begin{cases} y=-3x+5 \\ 5x-4y=-3 \end{cases}\\ \\\begin{cases} y=-3x+5 \\ 5x-4(-3x+5)=-3 \end{cases}\\ \\\begin{cases} y=-3x+5 \\ 5x+12x-20=-3 \end{cases}\\ \\\begin{cases} y=-3x+5 \\ 17x =-3+20 \end{cases}`


`\begin{cases} y=-3x+5 \\ 17x =17 \ \ /:17 \end{cases}\\ \\ \begin{cases} y=-3 \cdot 1+5 \\ x =1 \end{cases}\\ \\ \begin{cases} y=-3 +5 \\ x =1 \end{cases}\\ \\ \begin{cases} y=2 \\ x =1 \end{cases}\\ \\`