The second option! Hope this helps!
Answer:
m
=
4
Step-by-step explanation:
Given -
8
x
−
2
y
=
14
It is in the form
a
x
+
b
y
=
c
If a linear equation is in this form, then -
It slope is
−
a
b
In our case, we shall use this formula
m
=
−
8
−
2
=
4
To find the y-intercept put
x
=
0
8
(
0
)
−
2
y
=
14
−
2
y
=
14
y
=
14
−
2
=
−
7
To find the x-intercept put
y
=
0
8
x
−
2
(
0
)
=
14
8
x
=
14
x
=
14
8
=
7
4
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
#SPJ1
Answer:
n=-2
Step-by-step explanation:
-6n-2n=16
-8n=16
n=16/-8
n=-2
Answer: x=7/5 or 1 2/5
Step-by-step explanation:
Given
x+3/5=2
Subtract 3/5 on both sides
x+3/5-3/5=2-3/5
x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the
x=7/5 operation)
