Answer:
x = 2
y = 5
Step-by-step explanation:
There are multiple ways to solve this system, but the method I used was substitution.
Substitution is basically when you plug in one equation into the other equation, then solve.
First off, you would plug y=x+3 into 3x+y=11.
So now your new equation would be 3x+(x+3)=11.
Then you solve for x.
1. <u>Eliminate redundant parentheses.</u> Now the equation is 3x+x+3=11.
2. <u>Combine like terms.</u> Since 3x + x = 4x, the equation is now 4x+3=11.
3. <u>Subtract 3 from both sides of the equation.</u> The new equation is 4x=8.
4. <u>Divide both terms by 4.</u> The answer is x=2.
Since you now know what x equals, plug in what x equals into the previous equation that included y.
So now your new equation is y=2+3.
1. <u>Add the numbers</u>. The answer is y = 5.
I hope this helped, good luck learning more algebra!
A math expression is anything where you take one or more numbers and add them, subtract them, multiply, divide, etc etc
For example, 2+3 is a math expression
To make it an algebraic expression, we replace one of the numbers with a variable. Often this is the letter x. So let's say we replace the 2 with x. That would have the expression turn into x+3. What we're saying is "some number plus 3"
Normally 2+3 = 5 which is a true equation. Replace the 2 with x and we have x+3 = 5. So we're saying "some number plus 3 is 5". You can guess and check to find that the "some number" has to be 2
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In summary, the expression example was x+3 and the equation was x+3 = 5
Note: an equation is simply two expressions set equal to each other.
1 The solution involves four steps.
Make sure the sample size is big enough to model differences with a normal population. ...
Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.
Find the standard deviation of the difference. ...
Find the probability.
9514 1404 393
Answer:
(x-8)/(4x-4) x ≠ 1 or 8
Step-by-step explanation:
Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.
The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.
Answer:
The last option.
Step-by-step explanation:
Hope this helps!
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