Algebra Question

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Graph the following system of linear equations in https://www.desmos.com/ (Links to an external site.)Links to an external site. to find the solution of the system.

$LaTeX: x-y=10,\:2x-2y=7$

2. What are the points of intersection of the parabola () and the line $\left(x+y=-2\right)$ ? (To find the points of intersection, graph the functions using https://www.desmos.com/ (Links to an external site.)Links to an external site.)

3. Is $LaTeX: \left(\frac{1}{3},-2\right)$ a solution of the system of linear equations 6x - 4y =10 and y = 3x-3?

Why or why not? Explain your answer.

4. Fill in the blank: A system of linear equations which has at least one solution is called ______ (consistent/inconsistent).

5. After using the elimination method to solve a system of linear equations, we get 0 = 10. What can we say about the solution of the system? (No solution or infinitely many solutions).

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