X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
Answer: w = 12
Step-by-step explanation: In this problem, we want to get <em>w</em> by itself on one side of the equation. Since we have <em>14 + W</em>, in order to get <em>w</em> by itself, we must subtract 14 from the left side of the equation.
If we subtract 14 from the left side of the equation, we must also subtract 14 from the right side of the equation. So on the left, +14 and -14 cancel each other and on the right, 26 - 14 simplifies to 12 so <em>w = 12</em>.
To check our answer, we substitute a 12 back in for <em>w </em>in the original equation and we have 14 + (12) = 26 or 26 = 26 which is a true statement so the answer checks.
Hello! You can answer this question by using the distributive property. Basically
a(b+c) = a(b) + a(c)
Let's apply it to this expression:
5x(x-4)
=5x(x)-5x(-4)
Step-by-step explanation:
To find coordinates, we need the equation of the line segment with restrictions. I think you meant to say “line segment” as lines go infinitely in 2 directions and could not be broken up into ratios. Let’s say your segment is 24 feet long. You could then label AB as 5x and BC as x since that is a ratio of 5:1 …………We’d then have an equation
5x + x = 24 … or 6x = 24…..or x = 4 which would make AB = 20 and BC = 4…but this would not give us coordinates of points.
