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Dominik [7]
2 years ago
11

4x + 2y = -12 3x + y = -10 please help system by substitution.

Mathematics
1 answer:
padilas [110]2 years ago
3 0

Answer:

(-4, 2)

Step-by-step explanation:

4x+2y=-12

3x+y=-10

Start by dividing the first equation by 2 to simplify it...

2x+y=-6

Then, subtract -2x from both sides to isolate y...

y=-2x-6

Substitute -2x-6 for y in the second equation...

3x-2x-6=-10

Combine like terms...

x-6=-10

Add 6 to both sides

x-6+6=-10+6

x=-4

Plug -4 in for x to solve for y:

3(-4)+y=-10

-12+y=-10

Add 12 to both sides

-12+12+y=-10+12

y=2

(x,y)=(-4,2)

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Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
2 years ago
Solve 4 - 2(b-6)=12. What is b
Lynna [10]
2b because you would have to multiply which b means 1 so it will be 2b.
7 0
2 years ago
Read 2 more answers
The question is shown below ↓
masya89 [10]

Answer:

Step-by-step explanation:2+2=4

6 0
3 years ago
If the number of Conference participants decreases by 20% compared to last year, there would be 1760 participants this year. If
Basile [38]
2,640 this year
2,112 last year

the 1760 is 20% less than - so 120% of 1760 is the previous year:
1760 * 1.2 = 2112

2112 increased by 25% is a total of 125%: 
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7 0
2 years ago
Read 2 more answers
Write an equation in slope-intercept
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Y intercept form is when your line intersects through the y axis, and this is also your b. M is your slope.
7 0
3 years ago
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