Question

ottawa, canada- using elimination, solve the system of equations.

1. \\(\

$$\begin{cases}9x - 3y = 24\\\\7x - 3y = 20\\end{cases}$$

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1. \\(\

$$\begin{cases}3x + y = 20\\\\x + y = 12\\end{cases}$$

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1. \\(\

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

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Explanation:

Step1: Subtract equations to eliminate $y$

$$\begin{align*} (2x + y) - (2x + y) &= 3 - 1 \\ 0 &= 2 \end{align*}$$

Step2: Analyze the result

The equation $0=2$ is a contradiction, which means there are no values of $x$ and $y$ that can satisfy both original equations simultaneously.

Answer:

There is no solution to the system of equations.