If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:
x + y = 2 ... y = 2 - x
2x + y = 4
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2x + (2 - x) = 4
2x - x = 4 - 2
x = 2
y = 2 - x = 2 - 2 = 0
(x, y) = (2, 0)
<span>The correct result would be: There is one solution.</span>
<h3>
Answer: w = 100</h3>
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Explanation:
This value of w is larger than 30, so it makes w > 30 true.
At the same time, this value of w is not smaller than 70, so it makes w < 70 false.
If a value of w makes an inequality true, then we consider it a solution.
Put another way: if w = 100, then w > 30 becomes 100 > 30 which is true while w < 70 becomes 100 < 70 which is false.
You can pick any value you want for the answer as long as it's 70 or larger. We can pick w = 70 because w < 70 becomes 70 < 70 which is false. A number cannot be smaller than itself.
In terms of the graph, you can pick any value that is to the right of 70 or at the location of 70.
Step-by-step explanation:
Simplifying
3x + -28 + 3x + -30 + x = 33
Reorder the terms:
-28 + -30 + 3x + 3x + x = 33
Combine like terms: -28 + -30 = -58
-58 + 3x + 3x + x = 33
Combine like terms: 3x + 3x = 6x
-58 + 6x + x = 33
Combine like terms: 6x + x = 7x
-58 + 7x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '58' to each side of the equation.
-58 + 58 + 7x = 33 + 58
Combine like terms: -58 + 58 = 0
0 + 7x = 33 + 58
7x = 33 + 58
Combine like terms: 33 + 58 = 91
7x = 91
Divide each side by '7'.
x = 13
Simplifying
x = 13
AnswerSolving
-58 + 7x = 33
400 - 160
the answer would be 240