Question

1. \\(20x + 2y = -4\\)\\(10x + 8y = -16\\)

Explanation:

Step1: Simplify the first equation

Divide the first equation \(20x + 2y=-4\) by 2:
\(10x + y=-2\), so \(y=-2 - 10x\)

Step2: Substitute \(y\) into the second equation

Substitute \(y = -2 - 10x\) into \(10x + 8y=-16\):
\(10x+8(-2 - 10x)=-16\)
\(10x-16 - 80x=-16\)

Step3: Solve for \(x\)

Combine like terms:
\(-70x-16=-16\)
Add 16 to both sides:
\(-70x=0\)
Divide by -70:
\(x = 0\)

Step4: Solve for \(y\)

Substitute \(x = 0\) into \(y=-2 - 10x\):
\(y=-2-10\times0=-2\)

Answer:

\(x = 0\), \(y=-2\)