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Lapatulllka [165]
3 years ago
5

3. To combine the equations and solve for one of the variables, you need to eliminate the other variable. How can you change one

equation so that one variable is eliminated when the two equations are added? Explain and write the new equation. (12x + 6y = 120 and 4x + y = 30)
Mathematics
2 answers:
Anvisha [2.4K]3 years ago
6 0

Answer: 12x + 6y= 120  and  -24x -6y = -180

Step-by-step explanation:

12x + 6y = 120      

4x + y = 30              

To eliminate one of the variables the coefficients have to have the same values but different signs.One has to be positive and one has to be negative then you could add them up to get become zero. So in the two systems of equations you can multiply the down equation by -6 to eliminate the y variable but the top equation will have to be the same.

-6(4x + y)=30(-6)    

-24x -6y = -180  

You can now rewrite the equation as  

12x + 6y = 120

-24x -6y = -180     Now you can add the top and down equations to eliminate the y variable.

Ivan3 years ago
4 0

Answer:

You can multiply the 2nd equation by either -3 or -6

Step-by-step explanation:

If you are using elimination (imo substitution on this problem would be easier), then you need to eliminate <em>one </em>of the variables. If you are wanting to eliminate x first, then multiply by -3. If you want to eliminate y first, then multiply by -6.

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Find the value of x in the solution to the system of equations shown.
I am Lyosha [343]

To solve this system of equations, the easiest method to use is substitution. Both of our equations are already in terms of y (set equal to y), so we can substitute in the equivalent x values to create an equation with only one variable.


y = 14x - 6

y = -4x + 48


-4x + 48 = 14x - 6


To simplify, we are going to add 4x and add 6 to both sides of the equation to get all of the constant terms on one side of the equation and all of the variable terms on the other. We are also going to simplify by combining like terms.


-4x + 4x + 48 + 6 = 14x + 4x - 6 + 6

48 + 6 = 14x + 4x

54 = 18x


Finally, we must divide both sides of the equation by 18 because division is the inverse operation of multiplication, which allows us to cancel out the coefficient of 18.


54/18 = 18x/18

3 = x


Therefore, your answer is B. x = 3.


Hope this helps!

8 0
3 years ago
I need help, my teacher didn't really explain it well. Help the best you can :)
Inessa [10]

Step-by-step explanation:

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4 0
3 years ago
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Write an expressions that is equivalent to 6c-2/2 +2c+11 in simplest form
alisha [4.7K]

Answer:

8c + 10

Step-by-step explanation:

Divide 2/2:

6c - 1 + 2c + 11

Then Collect Like Terms:

6c + 2c = 8c

-1 + 11 = 10

Final: 8c + 10

3 0
3 years ago
1. 12 = x + 3<br> 2. b+0.6= -1<br> 3. a+(-4)= -13<br> 4. x+27= -12<br> 5. a+(-1.2)= -5.5
Archy [21]
1. 12=x+3    12-3=9  now try 9+3 that is 12 so x=9
2. b+0.6=-1   -1-0.6=-1.6   -1.6+0.6=-1  b=-1.6
3. a=-9
4. x=-39 I believe
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8 0
3 years ago
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What is the measurement of angle ABC?
MA_775_DIABLO [31]

The measurement of angle ABC is

B) 217 1/2

Hope this helps...

8 0
3 years ago
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