use the system of equations to answer the questions. 2x + 3y = 3 y = 8 - 3x the value of y from the second…

Explanation:

Step1: Substitute y into first - equation

Substitute $y = 8 - 3x$ into $2x+3y = 3$. We get $2x + 3(8 - 3x)=3$.

Step2: Expand and simplify the equation

Expand $2x + 3(8 - 3x)=3$: $2x+24 - 9x=3$. Combine like - terms: $2x-9x=3 - 24$. $-7x=-21$.

Step3: Solve for x

Divide both sides of $-7x=-21$ by $-7$. $x=\frac{-21}{-7}=3$.

Step4: Solve for y

Substitute $x = 3$ into $y = 8 - 3x$. $y=8-3\times3=8 - 9=-1$.

Answer:

The resulting equation is $2x + 3(8 - 3x)=3$. The value of $x$ is $3$. The value of $y$ is $-1$.