By solving the system by substitution, we got the solutions:
x = 2/3, y = 8/3.
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Solving the system of equations:</h3>
I guess we need to solve problem number 5, so let's do that.
Here we have the system of equations:
y = x + 2
3x + 3y = 6
To solve it by substitution, we need to isolate one of the variables in one of the equations and then replace that in the other equation.
For example, here we can see that "y" is already isolated in the first equation, so we can use that and replace it in the second equation.
3x + 3y = 6
3x + 3*(y = x + 2) = 6
3x + 3*(x + 2) = 6
Now we have an equation that only depends on x, so we can solve it:
3x + 3x + 2 = 6
6x + 2 = 6
6x = 6 - 2 = 4
x = 4/6 = 2/3.
Now we can use the first equation to find the value of y:
y = x + 2 = 2/3 + 2 = 2/3 + 6/3 = 8/3.
Then the solution is:
x = 2/3 and y = 8/3.
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
There is a 50/50 chance the next time he picks up a marble out of the bag it could be green, blue or red
9 cuz 4 times 1/2 is 2 and 2+7=9
Perpendicular bisector theorem
Answer:
19, 2
Step-by-step explanation:
let the 2 numbers be x and y with x > y , then
x + y = 21 → (1)
x - y = 17 → (2)
Add the 2 equations term by term to eliminate y , that is
2x = 38 ( divide both sides by 2 )
x = 19
substitute x = 19 into (1) for value of y
19 + y = 21 ( subtract 19 from both sides )
y = 2
The 2 numbers are 19 and 2