Equations 4781

Determine the smaller root of the root pair of the system of equations.

5a + 4b = 11
3a - 2b = 11

Correct answer:

x =  -1

Step-by-step explanation:


5a + 4b =11
3a - 2b = 11
x= b

5·a + 4·b =11
3·a - 2·b = 11
x= b

5a+4b = 11
3a-2b = 11
b-x = 0

Row 2 - 3/5 · Row 1 → Row 2
5a+4b = 11
-4.4b = 4.4
b-x = 0

Row 3 - 1/-4.4 · Row 2 → Row 3
5a+4b = 11
-4.4b = 4.4
-x = 1


x = 1/-1 = -1
b = 4.4/-4.4 = -1
a = 11-4b/5 = 11-4 · (-1)/5 = 3

a = 3
b = -1
x = -1

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