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Georgia [21]
3 years ago
5

5v-u=-2 and -v+9u=18, then the simultaneous solution of the given equation is? Please show how you work out the problem (:

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

v=0, u=2

Step-by-step explanation:

Label the 2 equations.

5v -u= -2 -----(1)

-v +9u= 18 -----(2)

From (1):

5v -u +2= 0 <em>(</em><em>+</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

5v +2= u <em>(</em><em>+</em><em>u</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

u= 5v +2 -----(3)

Subst. (3) into (2):

-v +9(5v +2)= 18

-v +9(5v) +9(2)= 18 <em>(</em><em>expand</em><em>)</em>

-v +45v +18= 18

45v -v= 18 -18

44v= 0

v= 0 <em>(</em><em>÷</em><em>4</em><em>4</em><em> </em><em>throughout</em><em>)</em>

Susbt. v=0 into (3):

u= 5(0) +2

u= 2

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