consider the equation a(3-x)=-2x+b what values of a and b make the solution of the equation x=-2
-9 -5 -1 5 9
a= b=
posted it again, under a new name, and still didn't fix the text formatting?
See your previous post.
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.
Given equation: a(3-x) = -2x + b
Substituting x = -2:
a(3 - (-2)) = -2(-2) + b
Simplifying the equation:
a(3 + 2) = 4 + b
a(5) = 4 + b
5a = 4 + b
Now we can use the given options -9, -5, -1, 5, and 9 to find the possible values of a and b.
For each option, we substitute the values of a and b into the equation 5a = 4 + b and check if it satisfies the equation.
1. For a = -9:
-9 * 5 = 4 + b
-45 = 4 + b
b = -49
2. For a = -5:
-5 * 5 = 4 + b
-25 = 4 + b
b = -29
3. For a = -1:
-1 * 5 = 4 + b
-5 = 4 + b
b = -9
4. For a = 5:
5 * 5 = 4 + b
25 = 4 + b
b = 21
5. For a = 9:
9 * 5 = 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
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.
Start by replacing x with -2 in the equation:
a(3-(-2)) = -2(-2) + b
Simplifying the equation:
a(3+2) = 4 + b
5a = 4 + b
Now, we have an equation with two variables, a and b. To solve for a and b, we need another equation. Since we don't have one, we cannot directly determine the values of a and b in this case.
However, we can find the values of a and b that satisfy the equation for a given value of x=-2.
Let's plug in the given values: x=-2.
Substituting x=-2 into the original equation:
a(3-(-2)) = -2(-2) + b
a(3+2) = 4 + b
5a = 4 + b
Now, let's substitute each of the given values of a and b into the equation and see which ones satisfy it.
For a = -9:
5(-9) = 4 + b
-45 = 4 + b
This equation is not satisfied because there is no value of b that can make -45 equal to 4 + b.
For a = -5:
5(-5) = 4 + b
-25 = 4 + b
Again, this equation is not satisfied because there is no value of b that can make -25 equal to 4 + b.
For a = -1:
5(-1) = 4 + b
-5 = 4 + b
Yet again, this equation is not satisfied because there is no value of b that can make -5 equal to 4 + b.
For a = 5:
5(5) = 4 + b
25 = 4 + b
This equation is not satisfied either because there is no value of b that can make 25 equal to 4 + b.
Finally, for a = 9:
5(9) = 4 + b
45 = 4 + b
Here, we have a value of b that satisfies the equation:
45 = 4 + b
b = 45 - 4
b = 41
Therefore, the values of a and b that make the solution of the equation x = -2 are:
a = 9, b = 41.