consider the equation a(3-x)=-2x+b what values of a and b make the solution of the equation x=-2
a= b=
-9 -5 -1 5 9
a(3-(-2)) = -2(-2)+b
5a = 4+b
Now finish it off.
would a be -1 and b -9
yes
To find the values of a and b that make the solution of the equation x = -2, we need to substitute x = -2 into the given equation and solve for a and b.
Let's substitute x = -2 into the equation a(3 - x) = -2x + b:
a(3 - (-2)) = -2(-2) + b
a(3 + 2) = 4 + b
a(5) = 4 + b
5a = 4 + b
Now, we can solve this equation for a and b by substituting different values for a and calculating the corresponding value of b:
For a = -9:
5(-9) = 4 + b
-45 = 4 + b
b = -49
For a = -5:
5(-5) = 4 + b
-25 = 4 + b
b = -29
For a = -1:
5(-1) = 4 + b
-5 = 4 + b
b = -9
For a = 5:
5(5) = 4 + b
25 = 4 + b
b = 21
For a = 9:
5(9) = 4 + b
45 = 4 + b
b = 41
So, the values of a and b that make the solution of the equation x = -2 are:
a = -9, b = -49
a = -5, b = -29
a = -1, b = -9
a = 5, b = 21
a = 9, b = 41