Use the substitution method to solve the system

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Ask by Higgins Rodriquez. in the United States

Mar 23,2025

Question

Use the substitution method to solve the system $$ \left\{\begin{array}{l}-x+y=3 \ 4 x-3 y=-11\end{array}ight. $$ Your answer is $$ x=\square $$ $$ y=\square $$

UpStudy AI · Accepted Answer

**Step 1. Solve the first equation for $$ y $$:**

$$
-x + y = 3 \quad \Rightarrow \quad y = 3 + x 
$$

**Step 2. Substitute $$ y = 3 + x $$ into the second equation:**

$$
4x - 3(3 + x) = -11
$$

**Step 3. Distribute and simplify:**

$$
4x - 9 - 3x = -11 \quad \Rightarrow \quad x - 9 = -11
$$

**Step 4. Solve for $$ x $$:**

$$
x = -11 + 9 = -2
$$

**Step 5. Substitute $$ x = -2 $$ into $$ y = 3 + x $$:**

$$
y = 3 + (-2) = 1
$$

$$ x=-2 $$  
$$ y=1 $$
$$ x=-2 $$ $$ y=1 $$

Use the substitution method to solve the system

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