Which point is a solution of the system?
Y=x-9
X+2y=3
Substitute x-9 from the first equation into the second equation for y to obtain
x+2(x-9)=3
x+2x-18=3
3x=21
x=7
Now substitute x=7 into the first equation to evaluate y and you will have the point.
Post your work if you want us to check it.
I still don't completely understand how you got x=7 forgive me for being slow, just never liked math.
OH i get it, ah alright. Now to get y=x-9 i just plug in x=7 right? and would leave me with y= -2 right? and it would look like this
y=7-9 and y=-2
right.
So the point is x=7 and y=-2 or (7,-2).
To find the point which is a solution of the system, we need to solve the system of equations. Here's how you can do it step by step:
Step 1: Solve one equation for one variable in terms of the other variable.
We have two equations:
1) Y = x - 9
2) X + 2Y = 3
Let's solve equation 1) for Y:
Y = x - 9
Step 2: Substitute the expression obtained in Step 1 into the other equation.
Now, substitute the expression of Y (x - 9) into equation 2):
X + 2(x - 9) = 3
Step 3: Simplify the equation.
Distribute 2 through the parentheses:
X + 2x - 18 = 3
Combine like terms:
3x - 18 = 3
Step 4: Solve the equation for the remaining variable.
Add 18 to both sides of the equation:
3x = 21
Divide both sides by 3:
x = 7
Step 5: Substitute the value of x into one of the equations to find the value of the other variable.
Substitute x = 7 into equation 1):
Y = 7 - 9
Y = -2
Step 6: Write the solution as an ordered pair (x, y).
The solution to the system of equations is (7, -2). So, the point (7, -2) is a solution of the system.