2x + 3y = 6
4x + 6y = 12
please help (I DO NOT want to discuss the other problem...)
can someone please help me because I'm really have a hard time with my homework. I understand some it but .... some problems are in different forms... and I looked in my notes (actually we don't have any notes JUST EXAMPLES! :( )
and..... omg it's hard please someone help me
like is this was ...
y = 3x - 1
y = x + 1
that's easy because I can solve those types of problems (the y equals part ... thingy)
but if it something like
2x + 3y = 6
4x + 6y = 12
then I HAVE NO IDEA what to do. My teacher should of show us an example similar to this problem so... that why I could of UNDERSTAND it and easy solve these types of problems
for hw i only have 4 problems to answer....
this one:
2x + 3y = 6
4x + 6y = 12
and other 3...
What is your question?
Did you not notice that the second equation is simply twice the first?
So you only have one equation.
Any ordered pairs that satisfies the first equation, or lies on that line , would be a solution
There is an infinite number of solutions.
e.g.
(0, 2) , (3,0) , (-3,4) , etc
(pick any even y, and you will get an integer x)
To solve the system of equations:
Step 1: Choose a variable, either x or y, and solve one of the equations for that variable in terms of the other variable. Let's solve the first equation for x in terms of y.
2x + 3y = 6
Subtract 3y from both sides:
2x = 6 - 3y
Divide both sides by 2:
x = (6 - 3y)/2
Step 2: Substitute the value of x from the previous step into the other equation. Let's substitute x in the second equation:
4((6 - 3y)/2) + 6y = 12
Simplify the equation:
2(6 - 3y) + 6y = 12
Distribute the 2:
12 - 6y + 6y = 12
Combine like terms:
12 = 12
Step 3: Determine if the result from step 2 is a true statement. In this case, since 12 = 12 is always true, we have an infinite number of solutions. This means that the two given equations represent the same line on the graph, and any point along that line is a solution to the system of equations.
Therefore, the system of equations has infinitely many solutions, and any point (x, y) on the line represented by the equation 2x + 3y = 6 is a solution to the system.