Question

What is the solution to the system of equations? 5x – 4y = -2 2x + 4y = 16

Answer 1

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer 2

Answer:

x = 2, x = 3

Step-by-step explanation:

$\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}$

$\mathrm{Step\;by\;step\;solving}:$

$\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}$

$\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}$

$\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}$

$\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}$

$\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3$

$\mathrm{Since,\:}x=\frac{-2+4y}{5}$$\mathrm{and\;y\;=\;3}$

$\mathrm{Then, substitute\:}y=3$

$\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}$

$\mathrm{Solving:\;x=2}$

$\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=2,x=3$

~Kavinsky~