What is the value of b in the solution of the system of equations below? 6a + 3b = 12-2a + b = -8
Question
What is the value of b in the solution of the system of equations below?
Solution
To find the value of b in the system of equations, we can use the method of substitution or elimination. Here, we will use the elimination method.
The system of equations is:
6a + 3b = 12 -2a + b = -8
First, we can multiply the second equation by 3 to make the coefficients of b in both equations the same:
-6a + 3b = -24
Now we have:
6a + 3b = 12 -6a + 3b = -24
We can add these two equations together:
(6a - 6a) + (3b + 3b) = 12 - 24 0a + 6b = -12
Simplify to get:
b = -12 / 6 b = -2
So, the value of b in the solution of the system of equations is -2.
Similar Questions
Solve for the values of y given the values of x a) y = 1/3x -2. when x = -12 and x = 0 b) y = -x -4. when x = -4 and x = 4
x3 = 12x y−3 + = −6The solution to the given system of equationsis x y( , ). What is the value of y ?A) −3B) 6C) 18D) 30
For the equation 3x – 2y = 12, which has value of −6?AnswersA.the x-interceptB.the y-interceptC.the slopeD.the origin
Which values of a and b make this system of equations have no solution?y=–2x+4y=ax+b
Considering the system of these two equations: Equation 1: 3x + 4y = 10 Equation 2: 2x - 6y = 12 What is the solution to this system?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.