Question

try: follow the steps for substitution
$y = 2 - x$
$4x + y = 2$
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 expression to reduce the equation to a linear equation with a single

expression

$x$
ve the equation $3x + 2 = 2$ for $x$. the value of $x$ is

$2 - x$

$2 - y$

Explanation:

Step1: Substitute y in second equation

Substitute $y = 2 - x$ into $4x + y=2$. We get $4x+(2 - x)=2$, which simplifies to $4x + 2-x=2$, then to $3x+2 = 2$.

Step2: Solve for x

Subtract 2 from both sides of $3x + 2=2$: $3x+2 - 2=2 - 2$, so $3x=0$. Divide both sides by 3: $\frac{3x}{3}=\frac{0}{3}$, then $x = 0$.

Answer:

$x = 0$