Math  /  Algebra

QuestionRework problem 18 from section 6.1 of your text, involving two constants, cc and dd. Use the following matrix equation instead of that found in your text to find the values of cc and dd which make the equation true. c[95]+d[21]=[11463]c\left[\begin{array}{l} -9 \\ -5 \end{array}\right]+d\left[\begin{array}{l} 2 \\ 1 \end{array}\right]=\left[\begin{array}{l} -114 \\ -63 \end{array}\right] (1) To make this equation true, set c=c= \square (2) And set d=d= \square Submit answer Next item

Studdy Solution
Substitute c=12 c = 12 back into one of the original equations to solve for d d . We'll use the second equation:
5c+d=63 -5c + d = -63 5(12)+d=63 -5(12) + d = -63 60+d=63 -60 + d = -63
Add 60 to both sides to solve for d d :
d=63+60 d = -63 + 60 d=3 d = -3
The values of c c and d d that make the equation true are:
(1) To make this equation true, set c=12 c = 12
(2) And set d=3 d = -3

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