Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-7x – y = -30
4x + y = 21
Try this one using the steps in the problem I did for you as a guide.
Okay here is what I have
-14x - y = 60
4x + y = 14
-28x + y = -46
Now I am not sure what to do I am kinda lost being 2 goes into both with
-14 and 23 can you give me some help please.
x=2 is a solution to 4x-2=3(x-4). Show your steps
To solve the system of equations using the elimination method, we will eliminate one variable by adding or subtracting the equations. In this case, we will eliminate the variable "y" by adding the two equations together.
First, rewrite the equations in a way that the variables align:
-7x – y = -30
4x + y = 21
Next, we will add the equations together to eliminate "y":
(-7x – y) + (4x + y) = (-30) + (21)
Simplifying the equation:
-7x + 4x - y + y = -30 + 21
-3x = -9
Divide both sides of the equation by -3 to solve for x:
-3x / -3 = -9 / -3
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations (in this case, let's use the second equation) to solve for y:
4(3) + y = 21
12 + y = 21
y = 21 - 12
y = 9
Therefore, the solution to the system of equations is x = 3 and y = 9.
In this case, the system has a unique solution.