This is very sloppy but u hope it helps
When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.
Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!
So the integers are -7 and -6.
<em>Answer:</em>
<em><u>X = 80</u></em>
<em>Step-by-step explanation:</em>
<em>Subtract </em><em>"5"</em><em> from both sides,</em>
<em>3x + 5 - 5 = 245 - 5</em>
<em><u>Simplify,</u></em>
<em>3x = 240</em>
<em><u>Divide both sides by </u></em><em><u>"3"</u></em><em><u>,</u></em>
<em>3x/3 = 240/3</em>
<em>X = </em><em>80</em>
<u><em>Hope this helps :-)</em></u>
Answer:
x = 81, y = 68, z = 99
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left, then
x = 180 - (36 + 63) = 180 - 99 = 81
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle on the right, thus
13 + y = x , that is
13 + y = 81 ( subtract 13 from both sides )
y = 68
Consider the triangle on the right
z = 180 - (13 + y) = 180 - (13 + 68) = 180 - 81 = 99
Answer:
500
Step-by-step explanation:
1=50 and 50 x 10 = 500
