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allochka39001 [22]

3 years ago

11

Need help with this question ASAP.

2 answers:

Rainbow [258]3 years ago

6 0

Answer:

$7=x$

Step-by-step explanation:

Equation

$4x = 7(x - 3)$

we apply distributive property $c(b+a)= bc+ac$

$4x = 7x - 21$

Group similar terms

$21=7x-4x$

Resolve addition / subtraction operations

$21=3x$

clear the x. Dividing both terms by the coefficient that accompanies the x

$\frac{21}{3}=\frac{3x}{3}$

$7=x$

saw5 [17]3 years ago

3 0

Your answers all seem correct.

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Help me please!!!!!!!!

yanalaym [24]

Answer:

A

Step-by-step explanation:

X=5 and 3

7 0

3 years ago

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13p - 3 = 5p + 13 find p please

densk [106]

P=2. Hope this helps

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3 years ago

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Z varies directly as x^3 and inversely as y^3. if z=59 when x=8 and y=8, find Z if x=3 and y=4

marissa [1.9K]

$z=\dfrac{kx^3}{y^3}\\\\\\59=\dfrac{k\cdot 8^3}{8^3}\\k=59\\\\\\z=\dfrac{59x^3}{y^3}\\\\\\z=\dfrac{59\cdot 3^3}{4^3}=\dfrac{1593}{64}$

8 0

2 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3

Sauron [17]

Answer:

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

Step-by-step explanation:

Given equations can be written as

$y=\frac{2}{3}x+3\hfill (1)$

$x=-2x+3x=-2\hfill (2)$

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

$y=\frac{2}{3}(-2)+3$

$=-\frac{4}{3}+3$

$=\frac{-4+9}{3}$

$=\frac{5}{3}$

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

5 0

3 years ago

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