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lora16 [44]
3 years ago
14

37= -3+5(x + 6) slove for x

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
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Step-by-step explanation:

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3 years ago
A painter is using a 8-foot ladder to paint a house. The painter places the ladder 6 feet from the house. How high up the wall d
9966 [12]

Step-by-step explanation:

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step 4. a^2 = 28.

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Hey, Y'all. Was wonderin' bout this pesky question that got me a bit stumped. Thank ya for your help.
puteri [66]
Answer: Choice B) (24,10)

---------------------------------------------------------

Work Shown:

2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10

If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24

Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B

As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
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3 years ago
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sleet_krkn [62]
-3x+2 < 8
-2 -2
-3 /-3x <6/-3
x >-2

So x>-2
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