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GuDViN [60]
3 years ago
6

HELP DUE IN 10 MINS! Solve for x. 5 / 4x - 6 = 2 / x - 9

Mathematics
2 answers:
elena-s [515]3 years ago
6 0

\huge \boxed{\mathfrak{Question} \downarrow}

\large \sf \: \frac { 5 } { 4 x - 6 }  = \frac { 2 } { x - 9},   \: Solve \: for \: x\\

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\large \sf\frac { 5 } { 4 x - 6}  = \frac { 2 } { x  - 9}  \\

Variable x cannot be equal to any of the values \sf\frac{3}{2},9 as division by zero is not defined. Multiply both sides of the equation by \sf2\left(x-9\right)\left(2x-3\right), the least common multiple of 4x-6 ,x-9.

\large \sf\left(x-9\right)\times 5=\left(4x-6\right)\times 2

Use the distributive property to multiply x-9 by 5.

\large \sf5x-45=8x-12

Subtract 8x from both sides.

\large \sf5x-45-8x=-12

Combine 5x and -8x to get -3x.

\large \sf-3x-45=-12

Add 45 to both sides.

\large \sf \: -3x=-12+45

Add -12 and 45 to get 33.

\large \sf-3x=33

Divide both sides by -3.

\large \sf x=\frac{33}{-3}  \\

Divide 33 by -3 to get -11.

\large\boxed{\boxed{ \boxed{ \mathfrak{x= - 11}}}}

KonstantinChe [14]3 years ago
5 0

\\ \sf\longmapsto \dfrac{5}{4x-6}=\dfrac{2}{x-9}

\\ \sf\longmapsto 5(x-9)=2(4x-6)

\\ \sf\longmapsto 5x-45=8x-12

\\ \sf\longmapsto 5x-8x=-12+45

\\ \sf\longmapsto -3x=33

\\ \sf\longmapsto x=\dfrac{33}{-3}

\\ \sf\longmapsto x=-11

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Step-by-step explanation:

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Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
ICE Princess25 [194]
A.
s=number of strawberry wafers
c=number of chocolate wafers

3s+1c=30
s+c=22

B.
multiply 2nd equation by -1 to do elimination
add to the first equation

3s+1c=30
<u>-s-c=-22 +</u>
2s+0c=8

2s=8
divide by 2
s=4

sub back
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I used elimiation because it seemed right for this one



I can also do subsitution

3s+1c=30
s+c=22
minus s both sides in 2nd equation

c=22-s
sub for c in other equation
3s+22-s=30
2s+22=30
minus 22 both sides
2s=8
divide by 2
s=4
and now
c=22-s
c=22-4
c=18

substiotion because it's easier for some people to see

18 chocolate
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5 0
4 years ago
Solve for x in the equation -2/5 x = 12
MrRissso [65]

Answer:

x= -30

Step-by-step explanation:

4 0
2 years ago
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2x + 7 &gt; 11<br> Please and thank you
Oxana [17]

Answer:

x = > 2

Step-by-step explanation:

This is the answer because:

1) >2 means x is any number greater than 2

2) For example, 2 x 3 = 6 +  7 = 13

3) 13 is greater than 11

Hope this helps!

3 0
3 years ago
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