Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say so.
-$9 x+9 y=18$
$6 x-7 y=12$
A) $\{(2,0)\}$
B) $\{(2,1)\}$
C) $\{(1,1)\}$
D) $\varnothing$; inconsistent system

Question

Quizplus · Accepted Answer

First, simplify the first equation by dividing by 9 to get $x + y = 2$. Then, solve one of the equations for one variable and substitute into the other. Solving the first equation for $y$, we get $y = 2 - x$. Substituting $y = 2 - x$ into the second equation $6x - 7(2 - x) = 12$ gives $6x - 14 + 7x = 12$, which simplifies to $13x = 26$, so $x = 2$. Substituting $x = 2$ back into $y = 2 - x$ gives $y = 0$. Therefore, the solution is $(2, 0)$.

Solve the System by Substitution or Elimination 9x+9y=189 x+9 y=189x+9y=18 6x−7y=126 x-7 y=126x−7y=12

Solve the System by Substitution or Elimination $9 x+9 y=18$ $6 x-7 y=12$