Answer:
{x,y,z}={1,3,4}
Step-by-step explanation:
System of Linear Equations given :
[1] x + 3y - 2z = 2
[2] 3x + 2y + z = 13
[3] -2x + 3y - 3z = -5
Solve by Substitution :
// Solve equation [2] for the variable z
[2] z = -3x - 2y + 13
// Plug this in for variable z in equation [1]
[1] x + 3y - 2•(-3x-2y+13) = 2
[1] 7x + 7y = 28
// Plug this in for variable z in equation [3]
[3] -2x + 3y - 3•(-3x-2y+13) = -5
[3] 7x + 9y = 34
// Solve equation [3] for the variable y
[3] 9y = -7x + 34
[3] y = -7x/9 + 34/9
// Plug this in for variable y in equation [1]
[1] 7x + 7•(-7x/9+34/9) = 28
[1] 14x/9 = 14/9
[1] 14x = 14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
x = 1
y = -7x/9+34/9
z = -3x-2y+13
// Use the x value to solve for y
y = -(7/9)(1)+34/9 = 3
// Use the x and y values to solve for z
z = -3(1)-2(3)+13 = 4
Solution :
{x,y,z} = {1,3,4}
Answer:
x=7,4
Step-by-step explanation:
Answer:
AD ≅ CD.
Step-by-step explanation:
Statement : consider triangles ADB and DBC.
1) AB = CD
2) ∠ABD = ∠DBC
3) DB = DB
4) ⇒ ΔADB and ΔDBC are congruent triangles.
5) AD = DC.
Reasons ;
1) given, AB = CB
2) given, DB bisects ∠ ABC
3) common side of both triangles
4) as two sides and one angle are equal in both triangles
5) congruent triangles
4 treats x=4 yesssssss i think thats it
For #1-6, I'll write down the spelling errors first, and the correct spelling in bold. #7 will have the incorrect sentence first, and the sentence with correct punctuation in italics, with the punctuation bold.
1. super sonic supersonic
2. sub marine submarine
3. sub way subway
4. super natural supernatural
5. out field outfield
6. super star superstar
7. Do you like sports. <em>Do you like </em><em /><em>sports</em><em>?</em><em />
<em /><em />For #8-16, the word in bold is the correct spelling.
8. submarine submareen submarein
9. subdivsion subdivison subdivision
10. subersonic supersonic supresonic
11. underline undeline undrline
12. outfeild outfeeld outfield
13. overcast overcas ovrcast
14. overlok overlook overlock
15. suparmarkit suprmarkat supermarket
16. overboard overbored ovarboard
