What is the solution of the system? Use substitution. 3x + 2y = 7
y = –3x + 11
A.(6, -3)
B.(6, -7)
C.(-4, 19/2)
D.(5, -4)
Answers
They have given you y: -3x+11.
They have also given you an equation for you to substitute y into: 3x+2y=7.
Now, you can create the substituted problem.
3x + 2(-3x + 11 ) = 7
Use distributive property.
3x + -6x + 22 = 7
Add like terms.
-3x + 22 = 7
Subtract 22 from 7.
-3x = -15
Divide.
x = 5.
Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.
I will do both to show you.
3(5) + 2y = 7
15 + 2y = 7
2y = -8
y = -4
You would get -4 with the other equation, too.
y = -3(5) + 11
y = -15 + 11
y = -4
Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.
*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if D wasn't so obvious when you only find x.
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Answers
Answer:
option C is correct.
Step-by-step explanation:
Checking equation A
Checking equation B
Checking equation C
Checking equation D
Hence, only option C is correct.
what is n= ?
Answers
Answer:
(n)/(8)=(11)/(5)
Step-by-step explanation:
n
8
=
11
5
Multiply both sides of the equation by
8
.
8
⋅
n
8
=
8
⋅
11
5
Simplify both sides of the equation.
Tap for fewer steps...
Cancel the common factor of
8
.
Tap for more steps...
n
=
8
⋅
11
5
Multiply
8
(
11
5
)
.
n
=
88
5
The result can be shown in multiple forms.
Exact Form:
n
=
88
5
Decimal Form:
n
=
17.6
Mixed Number Form:
n
=
17
3
5
Answers
Answers
The solution set of the inequality 9x ≥ 117 is [9, ∞).
What are inequalities and their types?
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 9x ≥117.
Dividing both sides by 9 we have,
(9/9)x ≥ 117/9.
x ≥ 13.
Therefore, The solution set of the inequality is [9, ∞).
learn more about inequalities here :
#SPJ1
Step-by-step explanation:
which number or numbers below belong to the solution set of the inequality check all that apply 9x>117
Answers
Answer:
Step-by-step explanation:
let the 3rd side, the hypotenuse, be x
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )
x =
Answer:
√13 or 3.6
Step-by-step explanation:
It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem
√(3² + 2²) =
√(9 + 4) =
√13
48
42
35
Answers
Answer:
42
Step-by-step explanation:
2 x 3 x 7 = 42
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