14) -3x + 3y = 3\n-5x + y = 13

14) -3x + 3y = 3\n-5x + y = 13

14) -3x + 3y = 3\n-5x + y = 13

Answer

Explanation:

Step1: Isolate y in the second - equation

From $-5x + y=13$, we get $y = 5x + 13$.

Step2: Substitute y into the first - equation

Substitute $y = 5x + 13$ into $-3x+3y = 3$. $-3x+3(5x + 13)=3$. Expand the left - hand side: $-3x+15x + 39 = 3$. Combine like terms: $12x+39 = 3$. Subtract 39 from both sides: $12x=3 - 39=-36$. Divide both sides by 12: $x=\frac{-36}{12}=-3$.

Step3: Find the value of y

Substitute $x = - 3$ into $y = 5x + 13$. $y=5\times(-3)+13=-15 + 13=-2$.

Answer:

$x=-3,y = - 2$