Answer:
y < 4
Step-by-step explanation:
Since the line is dotted, it will be either greater than or less than depending on if it is shaded above or below. It's "y" because the line crosses the y axis, not the x axis.
Answer: Combine like terms!
Step-by-step explanation:
-4x + 3x = 2
-1x = 2
-1x/-1 = 2/-1
x = -2
Answer:
Consistent and dependent
Step-by-step explanation:
Given
Required
The words that describe the equations
Make y the subject in (2)
Collect like terms
Divide through by 2
Substitute: in (1)
Collect like terms
Solve for x
Simplify
Substitute in
So, we have:
and
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
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
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