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irga5000 [103]
3 years ago
9

Three consecutive integers have a sum of 51 find the integers

Mathematics
2 answers:
Katen [24]3 years ago
8 0

Hey there!

Let's take the first number as ' x '

What is consecutive?

The preceding numbers

Hence, the second number = x + 1

The third number = x + 2

The sum of all the three numbers = 51

x + x + 1 + x + 2 = 51

3x + 3 = 51

subtracting by 3 on both sides

3x = 48

dividing by 3 on both sides

3x / 3 = 48 / 3

x = 16

The first number = 16

Second number = x + 1 = 17

Third number = 17 + 1 = 18

The three numbers = 16 , 17 , 18

Hope my answer helps!

Lemur [1.5K]3 years ago
4 0

the answer is 16 17 18

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Answer: infinite answers, jk there is like a lot tho

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x + y = 79

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x - y = 23

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X + 2y = –6<br> 3x + 8y = –20
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What do you want to calculate?

CALCULATE IT!
Solve
Graph
Lesson

Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
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−
1
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