Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
It would be Y=2 as it's a horizontal line at y=2
Given,
The sum of three integers is 92
So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"
Now,
According to the question,
y = 3x ..............equation (1)
z = 2x - 10 .............. equation (2)
x + y + z = 92 ..............equation (3)
Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,
x + (3x) + (2x - 10) = 92
x + 3x + 2x - 10 = 92
6x - 10 = 92
6x = 92 + 10
x = 102 / 6
x = 17
Now,
substituting the value of "x" in equation (1)
y = 3 (17)
y = 51
Now,
Substituting the value of "x" in equation (2),
z = 2 (17 ) - 10
z = 34 - 10
z = 24
So, the numbers are 17, 51 and 24
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