Question

graph the system below and write its solution.\

$$\begin{cases} y = 2x + 1 \\\\ x + 2y = -3 \\end{cases}$$

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note that you can also answer
o solution\ or \infinitely many\ solutions.\
solution: \square

Explanation:

Step1: Substitute \( y = 2x + 1 \) into \( x + 2y = -3 \)

Substitute \( y \) in the second equation: \( x + 2(2x + 1) = -3 \)

Step2: Simplify and solve for \( x \)

Expand the equation: \( x + 4x + 2 = -3 \)
Combine like terms: \( 5x + 2 = -3 \)
Subtract 2 from both sides: \( 5x = -5 \)
Divide by 5: \( x = -1 \)

Step3: Substitute \( x = -1 \) into \( y = 2x + 1 \)

Find \( y \): \( y = 2(-1) + 1 = -2 + 1 = -1 \)

Answer:

\((-1, -1)\)