I have a question. How would you solve a system if the variable and number is in front of the equals sign for example : y=3
4y=2x+18
I need help can someone guide me on this?
Well,you are told that y has a value of 3
so in the 2nd equation, simply replace y with that value and solve for x
4(3) = 2x + 18
12 - 18 = 2x
-6 = 2x
-3 = x
so x=-3, y = 3
Done!
4y=2x+18
12 = 2x + 18
-6 = 2x
-3 - x
To solve a system of equations where the variable and number are in front of the equals sign, you need to use the method of substitution or elimination. Let's use substitution as an example for these equations:
1) y = 3
2) 4y = 2x + 18
To solve this system, we will isolate the variable "y" in the first equation and then substitute its value into the second equation.
From equation 1), we can see that y is already isolated, so we can directly substitute its value into equation 2):
2) 4(3) = 2x + 18
Now, simplify the equation by performing the multiplication:
12 = 2x + 18
Next, let's isolate the variable "x" by moving the constant term to the other side of the equation:
12 - 18 = 2x
Simplifying further:
-6 = 2x
Divide both sides of the equation by 2 to solve for "x":
-6/2 = 2x/2
-3 = x
So, the solution is x = -3.
To find the value of "y," we can substitute the value of "x" (-3) into either of the original equations. Let's use equation 1):
1) y = 3
Therefore, the solution to the system of equations is x = -3 and y = 3.