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Reptile [31]
3 years ago
6

Given that a= (4) and b= (2) (7) (4) If

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

x = 12, y = 20

Step-by-step explanation:

Given

4a - 2b

= 4\left[\begin{array}{ccc}4\\7\\\end{array}\right] - 2\left[\begin{array}{ccc}2\\4\\\end{array}\right] ← multiply each component by the scalar

= \left[\begin{array}{ccc}4(4)\\4(7)\\\end{array}\right] - \left[\begin{array}{ccc}2(2)\\2(4)\\\end{array}\right]

= \left[\begin{array}{ccc}16\\28\\\end{array}\right] - \left[\begin{array}{ccc}4\\8\\\end{array}\right] ← subtract corresponding components

= \left[\begin{array}{ccc}16-4\\28-8\\\end{array}\right]

= \left[\begin{array}{ccc}12\\20\\\end{array}\right] = \left[\begin{array}{ccc}x\\y\\\end{array}\right]

with x = 12 and y = 20

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Solve by substitution. Show each step of your work.<br><br> 2x + y = 7<br><br> 3x + 5y = 14
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