Answer:
9
Step-by-step explanation:
according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):
1. 'two numbers have a sum of 7' means s+l=7;
2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.
3. the system of two equations is:
4. the larger number is 9.
Answer: (1, 3)
Explanation:
2x + 4x - 1 = 5
6x = 6
x = 1
y = 4(1) - 1
y = 4 - 1
y = 3
Answer:
-9 < x
Step-by-step explanation:
6x-11-13x<7-5x
Combine like terms
-11-7x<7-5x
Add 7x to each side
-11-7x+7x<7-5x+7x
-11 < 7+2x
Subtract 7 from each side
-11-7 < 7-7+2x
-18 < 2x
Divide by 2
-18/2 < 2x/2
-9 < x
RS + ST = RT
The equation is:
2 x + 10 + x - 4 = 21
3 x + 6 = 21
3 x = 21 - 6
3 x = 15
x = 15 : 3
x = 5
RS = 2 * 5 + 10 = 10 + 10 = 20
ST = 5 - 4 = 1
Answer: Segment RS = 20 and ST = 1
The easiest way to solve this is to create an equation. Let's let the variable n represent the unknown number.
1/3(4n - 4) = -6
First, we should divide both sides by 1/3, to cancel it out on the left side of the equation.
4n - 4 = -18
Next, we should add 4 to both sides to cancel out the -4 on the left side.
4n = -14
Finally, we should divide both sides by 4, to get the variable n alone on the left side.
n = -3.5
Therefore, the number is -3.5.
You know that this is the answer because if you plug it back into the orginal equation it works.
:)
