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Problem 64

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. In dependent systems, the two equations represent the same line.

Problem 64

Solve: \(7 x=10+6(11-2 x)\) (Section \(2.3,\) Example 3 )

Problem 64

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{array}{l} 6 x=5(x+y+3)-x \\ 3(x-y)+4 y=5(y+1) \end{array}\right.$$

Problem 65

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{array}{l} 0.4 x+y=2.2 \\ 0.5 x-1.2 y=0.3 \end{array}\right.$$

Problem 65

Determine whether each statement 鈥渕akes sense鈥 or 鈥渄oes not make sense鈥 and explain your reasoning. When I use graphing to solve an inconsistent system, the lines should look parallel, and I can always use slope to confirm that they really are.

Problem 65

Will help you prepare for the material covered in the first section of the next chapter. $$\text { Add: } 5 x^{3}+12 x^{3}$$

Problem 66

Will help you prepare for the material covered in the first section of the next chapter. $$\text { Add: }-8 x^{2}+6 x^{2}$$

Problem 66

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{aligned} 1.25 x-1.5 y &=2 \\ 3.5 x-1.75 y &=10.5 \end{aligned}\right.$$

Problem 66

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If a linear system has graphs with equal slopes, the system must be inconsistent.

Problem 67

In Exercises \(61-68,\) solve each system or state that the system is inconsistent or dependent. $$\left\\{\begin{array}{l} \frac{x}{2}=\frac{y+8}{3} \\ \frac{x+2}{2}=\frac{y+11}{3} \end{array}\right.$$

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