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2 years ago

(-4x-2)+1/2(12x-22) simplify

Mathematics

1 answer:

Ierofanga [76]2 years ago

6 0

Answer:

2x - 13

Step-by-step explanation:

Step 1 :

Simplify —

Equation at the end of step 1 :

(-4x - 2) + (— • (12x - 22))

Step 2 : Pulling out like terms :

3.1 Pull out like factors :

12x - 22 = 2 • (6x - 11)

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

12x - 22 = 2 • (6x - 11)

Equation at the end of step 3 :

(-4x - 2) + (6x - 11)

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3 years ago

3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3

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Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right$

$(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right$

$\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right$

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