Question

1. \\(14x + y = 9\\) \\(7x - 3y = 22\\)

Explanation:

Step1: Solve the first equation for y

From \(14x + y = 9\), we can express \(y\) as \(y = 9 - 14x\).

Step2: Substitute y into the second equation

Substitute \(y = 9 - 14x\) into \(7x - 3y = 22\). So we have \(7x - 3(9 - 14x)=22\).

Step3: Simplify the equation

First, expand the left - hand side: \(7x-27 + 42x=22\). Then combine like terms: \(49x-27 = 22\).

Step4: Solve for x

Add 27 to both sides of the equation: \(49x=22 + 27=49\). Then divide both sides by 49: \(x = 1\).

Step5: Solve for y

Substitute \(x = 1\) into \(y = 9 - 14x\), we get \(y=9-14\times1=9 - 14=- 5\).

Answer:

\(x = 1,y=-5\)