Answer: y = 7
Step-by-step explanation:
Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx
3 = k(9)
Step 2) Solve for k
3 = k(9) (Divide by 9 on both sides)
3/9 = k (Now simplify 3/9)
1/3 = k. So k = 1/3
*just FYI: “k” is the constant of variation.
Step 3) use the equation y = kx and plug in 1/3 for k
y = 1/3x
Step 4) using the equation y = 1/3x, plug in 21 for x.
y = 1/3(21) (1/3*21 is the same as 21/3)
y = 21/3 (21/3 = 7)
y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!
Hope this helps! My best wishes to you as you go through school!
Answer:
6x-15 = 4x+12
Step-by-step explanation:
3*2x = 6x
3*-5 = -15
4*x=4x
4*3=12
6x-15 = 4x+12
Make the denominator into 10x:
5x/10x +20/10x=x(x+4)/10x
5x+20=x(x+4)
5x+20=x²+4x
x²-x-20=0
(x-5)(x+4)=0
x=5 or -4
the third choice is correct.
The equation is already set up for you. All you need to do is solve for x, the number of hours.
23 + 3x = 5x + 7 original equation
23 - 7 = 5x - 3x combine like terms by subtracting 7 and 3x from both sides
16 = 2x simplify
16/2 = x divide both sides by 2 to isolate x
8 = x solve for x
Therefore, the answer is 8 hrs.
<u>Answer:</u>
one solution = 3
<u>Step-by-step explanation:</u>
Let's solve your equation step-by-step.
5x+17=4(3x−1)
Step 1: Simplify both sides of the equation.
5x+17=4(3x−1)
5x+17=(4)(3x)+(4)(−1)(Distribute)
5x+17=12x+−4
5x+17=12x−4
Step 2: Subtract 12x from both sides.
5x+17−12x=12x−4−12x
−7x+17=−4
Step 3: Subtract 17 from both sides.
−7x+17−17=−4−17
−7x=−21
Step 4: Divide both sides by -7
-7x/-7 = -21/-7 = 3
