use elimination to solve each\n6. 3x + 2y = 0\nx - 5y = 17
use elimination to solve each\n6. 3x + 2y = 0\nx - 5y = 17
Answer
Explanation:
Step1: Multiply second - equation
Multiply the equation $x - 5y=17$ by 3 to make the coefficient of $x$ the same as in the first equation. We get $3x-15y = 51$.
Step2: Subtract equations
Subtract the new - formed equation $3x - 15y=51$ from the first equation $3x + 2y=0$. $(3x + 2y)-(3x - 15y)=0 - 51$. $3x+2y - 3x + 15y=-51$. $17y=-51$. $y=-3$.
Step3: Find $x$ value
Substitute $y = - 3$ into the first equation $3x+2y = 0$. $3x+2\times(-3)=0$. $3x-6 = 0$. $3x=6$. $x = 2$.
Answer:
$x = 2,y=-3$