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4 years ago

X^2 = 25 ------ 289 (Solve for x)

Mathematics

1 answer:

Kisachek [45]4 years ago

4 0

4114.5 Balance method used

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

weeeeeb [17]

Answer:

Step-by-step explanation:

$x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right$

$\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}$

7 0

3 years ago

Identify the linear equation.

Katarina [22]

answer is b.
c and d are quadratics

6 0

4 years ago

Read 2 more answers

Debbie cut cord to sixths she is five of the pieces to make necklaces she used equal length of the remaining cord for each of fo

Anettt [7]

Answer:

¹/₂₄

Step-by-step explanation:

Debbie used ⅚ of the cord for necklaces.

That left ⅙ of the cord for four bracelets.

Each bracelet used:

Fraction of cord = ⅙ ×¼ = ¹/₂₄

Debbie used ¹/₂₄ of the cord for each bracelet.

7 0

3 years ago

LA = 5x -5 B = 3 + 13 B Solve for r and then find the measure of B:

topjm [15]

Answer:

x = 9º

∠B = 40º

Step-by-step explanation:

5x-5º = 3x+13º

[add 5 to both sides]

5x = 3x+18º

[subtract 3x from both sides]

2x = 18º

[divide each side by 2]

x = 9º

/ / / / / / / / / / / / / / / / / / /

3x+13º = 3(9º)+13º=27º+13º = 40º

6 0

3 years ago

X squared plus y plus 3 equals 7

3241004551 [841]

X2 + y + 3 = 7
×2 + y = 4

7 0

3 years ago