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vredina [299]
2 years ago
7

How can you decide which variable to solve for first when you are solving a linear system by substitution

Mathematics
1 answer:
Helen [10]2 years ago
7 0
There are many factors, it is all a matter of preference, normally, you want to try to solve for the easiest one to get to
example

if y ou had

(x-3)^2+y=9
you would solve for y becuase it is less tricky

it is all a matter of preference
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How do I solve this?
serg [7]

Answer:

  (x, y) = (18, 5)

Step-by-step explanation:

Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:

  3x +49 = 7x -23

  72 = 4x . . . . . . . . . add 23-3x

  18 = x . . . . . . . . . . . divide by 4

__

Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.

  3x = 11y -1

  3(18) +1 = 11y . . . . add 1, fill in the value of x

  55/11 = y = 5 . . . . divide by 11

The values of x and y are 18 and 5, respectively.

5 0
3 years ago
Does anyone get this?
stepladder [879]

Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = \frac{2}{3}* \frac{-2}1}  + 3  

y= \frac{-4}{3} + \frac{3}{1}    

y = \frac{5}{3}  

so now you have the solution like this (-2,\frac{5}{3})

8 0
3 years ago
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB
katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

4 0
2 years ago
Whats two plus two divided by two
Wewaii [24]

Answer:

2

Step-by-step explanation:

2+2 = 4

4/2 = 2

3 0
3 years ago
Simplify the monomials
Zielflug [23.3K]

Answer:

(4a)^{-3}*^{-4}

x^m*x^n=x^{m+n}

(4a)^{-3}*a^{-4}

(-4)^{-3}\: a^{-3}*a^{-4}

4^{-3}\:a^{-3-4}

\cfrac{1}{4^3} \:a^{-7}

\boxed{\frac{1}{64a^{7}} }

~

(3xy)^2*(-4x^3y^2)^3

9x^2y^2*(64x^9y^6)

\boxed{-576x^{11}y^8}

~

(4a^{-1}b^5c^{-3})^3

(4)^3(a^{-1})^3(b^5)^3(c^{-3})^3

(4*4*4)\:a^{-1*3}\:b^{5*3}\:c^{-3*3}

64\:a^{-3}b^{15}c^{-9}

\boxed{\frac{64b^{15}}{a^3c^9}}

7 0
2 years ago
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