Four terms are used when grouping to factor.
Answer:
(-2, 1)
Step-by-step explanation:
Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:
-3(-5x - 3y = 7) or 15x + 9y = -21
5(-3x - 4y = 2) or <u>-15x -20y = 10</u>
-11y = -11
y = 1
Solve for x: -5x - 3 = 7
Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10
Solve for x: x = -2
(-2, 1)
Let
Present age of Sana = s
Present age of Mona = m
Sana is senior to Mona by 18 years
s=m+18............(1)
After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30
Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer:
Step-by-step explanation:
WHEN ADDING TWO LOGS TO COMPRESS THEM YOU MULTIPLY THE TERMS
LOG(4^2)(2^3)
LOG(16)(8)
LOG(128)
