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Chapter 7: Problem 2

Determine whether the given ordered pair is a solution of the system. \((-3,5)\) \(\left\\{\begin{array}{l}9 x+7 y=8 \\ 8 x-9 y=-69\end{array}\right.\)

Short Answer

Expert verified
Yes, (-3,5) is a solution of the given system of linear equations.

Step by step solution

01

Substitution in the first equation

Input the ordered pair (-3,5) into the equation \(9x + 7y = 8\). This becomes \(9(-3) + 7(5) = -27 + 35 = 8\). As the result equals to the right-hand side of the equation (8), it's a valid solution for the first equation.
02

Substitution in the second equation

Next, substitute the ordered pair (-3,5) into the equation \(8x - 9y = -69\). This gives: \(8(-3) - 9(5) = -24 - 45 = -69\). As the result is equal to the given equation's right hand side (-69), it's a valid solution for the second equation as well.
03

Conclusion

As the given ordered pair, (-3,5), satisfies both equations in the system, it is indeed a solution of the system.

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Most popular questions from this chapter

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