Solve the following system of equations:

\[
-10x - 8y = -20
\]

\[
20x + 16y = 4
\]

solving for y:
20x + 16y = 4 20(1/5 - 4/5y) + 16y = 4 - 16y -16y 4 - 16y +16y = 4 20x = 4- 16y (-16y + 16y cancel out) 20 4=4 x = 2/10- 4/5y infinite solution 10x - 8y = 20 10(2/1 +4/5y) - 8y =20 +8y +8y 20 + 8y - 8y = 20 10x = 20 + 8y (8y - 8y cancels out) 10 20 = 20 x = 2/1 + 4/5y infinite solution

Answered by meli25 | 2024-06-10

{ 20 x + 16 y = 4 − 10 x − 8 y = − 20 ∣ ⋅ 2 ​ { 20 x + 16 y = 4 − 20 x − 16 y = − 40 ​ + − − − − − − − 0  = − 36 T h ere a re n o so l u t i o n .

Answered by luana | 2024-06-10

The system of equations represents the same line, leading to infinite solutions. By simplifying both equations, we find they are equivalent, meaning any point on the line they form is a solution. Therefore, the solution set includes infinite values of (x, y).
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Answered by meli25 | 2024-12-13