Solving More Systems

Solve these without writing anything down:

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Solving More Systems.

Below are a lot of systems of equations.

(1). Without solving, identify 3 systems that you think would be the least difficult to solve. Explain your reasoning.

(2). Without solving, identify 3 systems that you think would be the most difficult to solve. Explain your reasoning.

(3). Choose 4 systems to solve. At least one should be from your “least difficult” list and one should be from your “most difficult” list.

(a). 1st system with solution: (least difficult.)

(b). 2nd system with solution:

(c). 3rd system with solution:

(d). 4th system with solution:(most difficult.)

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Match a Graph to an Equation.

Match each graph below to its equation.

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Solve a System of Equations.

(A). Which equation, together with   = -1.5 + 3, makes a system with one solution?

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(B). The system – 6= 4, 3– 18= 4, has no solution.

(1). Change one constant or coefficient to make a new system with one solution.

(2). Change one constant or coefficient to make a new system with an infinite number of solutions.

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Tyler was looking at this system of equations:

He said,  “Just looking at the system, I can see it has no solution. If you add two numbers, that sum can’t be equal to two different numbers.” Do you agree with Tyler? If not, explain your reasoning.

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Here are two points: (-3, 4), (1, 7).

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