Answer:
1/2a-19=-13
Step-by-step explanation:
One half of a number represents the phrase "1/2a" (in this case the variable/number is 'a'". Then because it says "nineteen less than", that means you subtract 19 from one half of the variable.
Answer:
x = -3, y = 5
Step-by-step explanation:
first, take the 3x + 17 = y and put it in place for the y in the second equation.
-3x=4x+17+4
then, solve the equation.
-3x=4x+21
-3x-4x=4x-4x+21
-7x=21
-7/-7x=21/-7
x = -3
substitute in other equation
4(-3) + 17 = y
-12 + 17 = y
y = 5
answers are x = -3 and y = 5
ASA - verticals angles are equal, two sides are equal, and two other angles are marked equal
When using substitution, we are imputing an equation in place of a variable to eliminate one of the variables in the equation so that we can solve for the remaining variable.
For this example, we will be plugging in (-4y+12) wherever "x" is in the other equation.
3/4 x -5y = 7
3/4(-4y+12) -5y =7
((3/4)(-4y))+((3/4)12)-5y=7
-3y+9-5y=7
-8y= -2
y=(1/4)
Now find "x" by plugging in the y-value.
x=(-4*(1/4))+12
x= -1 +12
x=11
any questions? feel free to comment below!
The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.
So, 3 x 8 = 24.
Then, to find out how much he saves each day, you would find how much he used before,
11 x 8 = 88
Next we want to see how much Nathan saved, so we subtract the total,
88 - 24 = 64
Nathan saved 64 gallons.