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xz_007 [3.2K]
2 years ago
5

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x. ax + bx - c = 0

Mathematics
2 answers:
Stolb23 [73]2 years ago
4 0
ax+bx-c=0\\
x(a+b)=c\\
x=\dfrac{c}{a+b}
JulsSmile [24]2 years ago
3 0
ax+bx-c=0 \ \ \ |+c \\
ax+bx=c \\
(a+b)x=c \ \ \ |\div (a+b), a+b \not= 0 \\
\boxed{x=\frac{c}{a+b}}
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The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
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5*50 + 10y = 800

250+10y=800

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The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total? 60. The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles.

The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles  and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

~~~~~~~~~~~~~~~~~~~~~~

5x + 10y = 800  and  y = 50  ====>

5x + 10*50 = 800  ====>  5x + 500 = 800  ====>  5x = 800-500 = 300  ====>  x = 300%2F5 = 60

6 0
3 years ago
Use the following data set (6, 4, 4, 5, 1, 8, 10, 7, 8, 6, 6, 7, 5, 4, 6)
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Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x
Mrac [35]

The correct option is (B). 3x+5y=29 And -3x-12y=-48.

Given Equations,

3x + 5y = 29......(1)

x + 4y = 16.......(2)

We have to find out  Which system of equations is equivalent to the Given system of Equations.

 1). System of equation are,

3x+5y=29\\-x-4y=16

taking - common and transposing to R.H.S we get,

x+4y=-16

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

3x+5y=29\\-3x-12y=-48

Taking -3 common from L.H.S. we get,

-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}

x+4y=16.

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

For more details on Equations follow the link:

brainly.com/question/11897796

4 0
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