<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations.
- <em>Older</em> = add
- <em>Less</em> <em>than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Carlos' age is 5 less than 3 times his brother's age
- Carlos' age is 11 years higher than his brother's age
There are two variables present in this problem: Carlos' age and his brother's age.
- Let Carlos' age equal <em>x</em>
- Let his brother's age equal <em>y</em>
Translate the given information into equations:
- Carlos' age is 5 less than 3 times his brother's age
⇒ 
- Carlos' age is 11 years higher than his brother's age
⇒ 
We can solve for <em>y</em>, his brothers age, using substitution:
Now, solve for <em>x</em> by substituting <em>y</em> in either of the equations:
Therefore, Carlos is 19 years old.
<h2>Answer</h2>
Carlos is 19 years old.
Answer:
The system has just one solution, it is (1,4).
Step-by-step explanation:
When we have a system of linear equations, the solution is given by the intersection point of the two lines.
So if we see the graph, the intersect point is at (1,4). Therefore, the system has a unique solution.
I hope it helps you!
Answer:
(3/8)x^2
Step-by-step explanation:
Rewriting the given expression as follows simplifies the solution. Note that 6x^(-2) could be written as:
6
--------
x^2
Also, (0.5x)^4 = 0.0625x^4.
Then we have:
6*0.0625*x^4 0.375
---------------------- = ------------ * x^(4-2), or (3/8)x^2
x^2 1
Note that x^4 / x^2 = x^2.
Answer:
D
Step-by-step explanation:
So first you simplify
Step 1: (2•3•7x3y6) (2•3xy6)
Step 2: you divide x3 by x1 = x (3-1) = x2
step 3: You cancel out y6 as it appears on both sides of the fraction line.
step 4: cancel out 2 as it appears on both sides.
step 5: cancel out 3 as it appears on both sides.
step 6: final result 7x2
The Answer: B Promise me ok Enjoy :D
Step-by-step explanation:
