The expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.
<h3>What is stated as the
equivalent expression?</h3>
- Equivalent expressions have been expressions that perform the same function despite their appearance.
- If two linear algebra expressions are equivalent, they have the same value when the variable is set to the same value.
For the given question, the expression is stated as-
Negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity
This can be written as;
= -7t/6 + 4/9 - (-5t/ 12 + 2/3)
Simplify the expression as;
= -7t/6 + 4/9 + 5t/ 12 - 2/3
Re arrange the numbers
= -7t/6 + 5t/ 12 - 2/3 + 4/9
Combine the variables and constant separately.
= -9t/12 - 2/9
This can be written in words as- negative 9 over 12 times t minus 2 over 9.
Thus, the expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.
To know more about the equivalent expression, here
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When trying to solve a system of equations graphically, our focus is on identifying the coordinates of any point through which the graphs go. Look at the above graph: you'll see that the red and the blue graphs intersect at (0,2), and so (0,2) is a "solution" of that system of equations.
Here, we're asked to answer a different kind of question: "Is (2,0) a solution to the given system of equations?" Let's paraphrase that question: "Do both graphs go through (2,0)?" The answer: emphatically not. Neither graph goes through (2,0). Thus, (2,0) is not a solution to this system of equations.
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Step-by-step explanation:
Answer:
\[y=-5x+18\]
Step-by-step explanation:
Given that the line is parallel to \[y = -5x + 6\]
Hence the slope of the line is given by -5
Hence the equation of the required line can be represented by \[y = -5x + c\]
This line passes through (4,-2). Substituting:
\[-2 = -5 * 4 + c\]
=> \[-2 = -20 + c\]
=> c = 20-2 = 18
So the required equation of the line is given by : \[y = -5x + 18\]
From the given options, option 3 is the correct one.
