Question

l. 7x - 3y = 17\\2x - y = 6\
instructor asked

Explanation:

Step1: Solve the second equation for y

From \(2x - y = 6\), we can rearrange it to get \(y = 2x - 6\).

Step2: Substitute y into the first equation

Substitute \(y = 2x - 6\) into \(7x - 3y = 17\). So we have \(7x - 3(2x - 6)=17\).

Step3: Simplify the equation

Expand the left - hand side: \(7x-6x + 18=17\). Combine like terms: \(x+18 = 17\).

Step4: Solve for x

Subtract 18 from both sides: \(x=17 - 18=-1\).

Step5: Solve for y

Substitute \(x = - 1\) into \(y = 2x - 6\). Then \(y=2\times(-1)-6=-2 - 6=-8\).

Answer:

\(x=-1,y = - 8\)