Question

in the system of equations above, the first equation tells us that y is equal to 2 - x. this means we can replace the y in the second equation with to reduce the equation to a linear equation with a single variable. next, we can solve the equation 3x + 2 = 2 for x. the value of x is finally, since y = 2 - x, we can substitute the value of x into the ec to calculate y. the value of y is

Explanation:

Step1: Substitute $y$ in second - equation

Substitute $y = 2 - x$ into the second - equation.

Step2: Solve for $x$

Solve the equation $3x+2 = 2$.
Subtract 2 from both sides: $3x=2 - 2$, so $3x = 0$. Then divide both sides by 3, we get $x = 0$.

Step3: Solve for $y$

Since $y=2 - x$, substitute $x = 0$ into it. So $y=2-0=2$.

Answer:

$x = 0$, $y = 2$