Need help solving linear equations, please! :o)?

Question

I am trying to complete my algebra homework, but am stuck on three problems. Could someone help me solve these? And could you please show your work and simplify the problems? I won't learn anything if I just see the answer. Thank you SO VERY MUCH in advance for your help!!!

-4.0x+2.7-1.6=-4.6x+2.7
x=?

-5(3w-3)+(1+16w)=0
w=?

-5(1-2z)+4(3-z)-7(3+z)=0
z=?

Thanks again!!!

Answer 1

first:
0.6x = 1.6
x = 8/3

second: -15w +15 + 16 w +1 =0

w=-16

third: -5 +10z + 12 -4z -21 - 7z = 0

z =-14

Answer 2

For all these questions, you just need to make the unknowns (x, w and z in this case) subject of formula (right hand side) and all the numbers on the left hand side.

Question 1:
-4.0x+2.7-1.6=-4.6x+2.7
-4x + 4.6x = 2.7 - 2.7 + 1.6
0.6x = 1.6
x = 1.6/0.6 = 2.67

Question 2: (get rid of the brackets by multiplication)
-5(3w-3)+(1+16w)=0
-15w + 15 +1 + 16w = 0
w + 16 = 0
w = -16

Question 3:
-5(1-2z)+4(3-z)-7(3+z)=0
-5 + 10z +12 -4z -21 -7z = 0
10z - 4z -7z = 5 - 12 + 21
-z = 14
z = -14

Answer 3

the big thing to do is to combine your like terms
-4x + 2.7 - 1.6 = -4.6x + 2.7
-4x + 1.1 = -4.6x + 2.7 then you would subtract from both sides
.6x =1.6 then divide
x=2.67

the next one remember the distributive property
-5(3w-3) = (-5 x 3w) - (-5 x -3)
-15w +15 + 1 + 16w then again you'll combine your like terms
16 + w = 0
w = -16

last one is the same idea only a little longer so its not harder its just more of a pain in the butt

distribute your terms
-5 + 10z + 12 - 4z -21 -7z =0 remember if the number you are distributing is negative that you multiply each term by the negative value
ok so combine your like terms
14 -z = 0
-z = 14
z = -14

hope this helps you out

Answer 4

First, if you have indicated multiplications such as
-5(3w-3), these must be performed first. Remember that the -5 multiplies ALL terms in ( ).

Then you separate terms with the variable from terms that are constants. Put one group on one side of the equation and one group on the other.

Combine on each side of the equation. Don't forget your addition rules.

Once your equation is in the form Kx=C, divide both sides by K. Then x= C/K.

Try the second equation to show this.
-15w+15+1+16w=0 Note the multiplier of (1+16w) is an implied +1.
Move terms: 16w-15w = -15-1 Note that we subtracted constants from both sides to get this.
Combine. w=-16 Since the coefficient of w is +1, we need not do the last step.

Answer 5

-4x+2.7-1.6=-4.6x+2.7

First you must get your variable on one side of the equation:

2.7-1.6-2.7=-4.6x+4x

-1.6 = -0.6x

-1.6 / -.6 = x

x= 8/3 or 2.67

Substitute 2.67 back into the equation and the sides should equal.

-5(3w-3)+(1+16w)=0

Same steps as above:

-15w+15+1+16w=0

w+16=0

w= -16



-5(1-2z)+4(3-z)-7(3+z)=0

-5+10z+12-4z-21-7z=0

-z-14=0

z= -14

Answer 6

a million. you may take the two of the equations and remedy for one variable in terms of the different, plug in to the different equation and remedy for the different variable, and ultimately plug decrease back in returned to remedy for the 1st variable. as an occasion, take the 2d equation 2y - x = 3 and remedy for x in terms of y: 2y = 3 + x x = 2y - 3 Now plug that for the period of for x interior the 1st equation: 3x + y = -2 3(2y - 3) + y = -2 Distribute the three and remedy for y: 6y - 9 + y = -2 7y - 9 = -2 7y = 7 y = a million you may now plug that decrease back in for y in what you solved for x to be in terms of y: x = 2y - 3 x = 2(a million) - 3 x = -a million So your x and y is (-a million, a million) 2. returned, you're able to do a similar technique, with besides the fact that variable you opt for for solved for in terms of the different from the two equation, it is your selection. as an occasion, remedy for x in terms of y interior the 1st equation: x + y = 0 x = -y and plug that for the period of interior the 2d equation: x + 3y = -6 -y + 3y = -6 2y = -6 y = -3 and now plug in for x: x = -y x = -(-3) x = 3 So your x and y is (3, -3)