Simplifying
4x+-9= 2x + 33
Reorder the terms:
-9+4x = -2x + 33
Reorder the terms:
-9 + 4x = 33 + -2x
Solving:
-9 + 4x = 33 + -2x
Answer: x = 7
<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 science students
Step-by-step explanation:
9,15,19 is a triangle
Obtuse Scalene Triangle
Side a = 15
Side b = 9
Side c = 19
Angle ∠A = 50.617° = 50°37'1" = 0.88343 rad
Angle ∠B = 27.63° = 27°37'46" = 0.48223 rad
Angle ∠C = 101.754° = 101°45'13" = 1.77594 rad
Area = 66.0847
Perimeter p = 43
Semiperimeter s = 21.5
Height ha = 8.81129
Height hb = 14.68549
Height hc = 6.95628
Median ma = 12.8355
Median mb = 16.51514
Median mc = 7.92149
Inradius r = 3.07371
Circumradius R = 9.70346
Vertex coordinates: A[0, 0] B[19, 0] C[5.71053, 6.95628]
Centroid: [8.23684, 2.31876]
Inscribed Circle Center: [6.5, 3.07371]
Circumscribed Circle Center: [9.5, 1.97663]
14,16,4 is a triangle
Obtuse Scalene Triangle
Side a = 16
Side b = 14
Side c = 4
Angle ∠A = 113.132° = 113°7'57" = 1.97453 rad
Angle ∠B = 53.576° = 53°34'35" = 0.93509 rad
Angle ∠C = 13.291° = 13°17'28" = 0.23197 rad
Area = 25.74879
Perimeter p = 34
Semiperimeter s = 17
Height ha = 3.2186
Height hb = 3.6784
Height hc = 12.87439
Median ma = 6.48074
Median mb = 9.32738
Median mc = 14.89966
Inradius r = 1.51463
Circumradius R = 8.69944
Vertex coordinates: A[0, 0] B[4, 0] C[-5.5, 12.87439]
Centroid: [0.5, 4.29146]
Inscribed Circle Center: [1, 1.51463]
Circumscribed Circle Center: [2, 8.46642]
6,22,6 is not a triangle
The sum of two sides must be larger than the third
9.1,2.5,12.3 is not a triangle
The sum of two sides must be larger than the third