x= −29/4
Answer:
Step-by-step explanation:
−7(x+2)=−3(x−5)
Step 1: Simplify both sides of the equation.
−7(x+2)=−3(x−5)
(−7)(x)+(−7)(2)=(−3)(x)+(−3)(−5)(Distribute)
−7x+−14=−3x+15
−7x−14=−3x+15
Step 2: Add 3x to both sides.
−7x−14+3x=−3x+15+3x
−4x−14=15
Step 3: Add 14 to both sides.
−4x−14+14=15+14
−4x=29
Step 4: Divide both sides by -4.
−4x −4
x=29/−4
x= −29/4
Answer:
the answer is 15x+3=3(5x+1)
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
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x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
8k-4k+4+7-k =
8k-4k-k+4+7 =
3k+11
Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
Volume of cube = 6^3 = 216 m^3