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
[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]
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
[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]
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!
