Find the values of a and b so that the linear system has the given solution.
1 answer:
Answer:
<em>The values are a=6, b=8</em>
Step-by-step explanation:
The following system of equations
ax - by = 4
bx - ay = 10
Has the solution x=2, y=1. Substituting:
2a - b = 4 [1]
2b - a = 10 [2]
Multiply [1] by 2:
4a - 2b = 8
Add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [1]:
2*6 - b = 4
b = 12 - 4
b = 8
The values are a=6, b=8
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