if x= -1 and y=2 is the solution of the simultaneous equations,
ax-by= 1
ay+bx= - 7
find the value of a and b with the proper steps
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Deleted account 5 months ago
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Answer:

a = -3, b = 1

Step-by-step explanation:

1. Plug in the given values into the equations:

a(-1) - b(2) = 1
a(2) + b(-1) = -7

2. Isolate a in the first equation:

a(-1) - b(2) = 1   =   a · -1 - b · 2 = 1

-a - 2b = 1

-a -2b+2b = 1+2b

-a = 1 + 2b

a = -1 - 2b

3. Substitute "a = -1 - 2b" in for a in the second equation:

(-1 - 2b)2 + b(-1) = -7

4. Simplify:

-2 - 4b + b(-1) = -7

-2 - 4b -b = -7

-2 -5b = -7

5. Isolate for b:

-2+2 - 5b = -7+2

-5b = -5

b = 1

6. Substitute the b value into an equation to solve for a:

a = -1 -2 · 1

a = -3 · 1

a = -3

hope this helps!

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