Question

What is the solution to this system of equations? Show your work. 46 points

Answer 1

The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.

Explanation:

Isolate x for 12=1/3x: x=36

[y - 36=9]

the solutions to the system of equation is:

y=45 x=36

Answer 2

y - x = 9
12 = 1/3x

The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.

y - x = 9
y = x + 9
x = y - 9

You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36

Now we can set them equal to each other

36 = y - 9
y = 45

Answer: x = 36 and y = 45