Solve the systems of equations 3x-4y=-2 and -x+8y=-23
Answers
3x - 4y = -2
x + 8y = -23
_________
Our goal is to essentially get rid of one of the variables. We can do so by multiplying the first equation by 2:
6x - 8y = -4
x + 8y = -23
__________
7x = -27
x = -27/7
Input x into one of the equations to solve for y:
-27/7 + 8y = -23
-27 + 56y = -161
56y = -134
y = -134/56
y = -67/28
(-27/7, -67/28)
Related Questions
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Lynn bought a bag of grapefruit 1 5/8 pounds of apples to + 3/16 pounds of bananas the total weight of her purchase with 7 1/2 pounds how much did the bag of grapefruit way
1 page for every 3 students is a unit rate or rate
Solve for h. P=mgh Answer choices:H=P-mgH=pg/mH=p/mgH=P+mg
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Give Equations for both websites
Website One-
Website Two-
Answers
Website Two: y= 2x
Answers
Answer:
58/15
Step-by-step explanation:
Step 1: Convert words into an expression
6 and 2 thirds minus 2 and 4 fifths
6 2/3 - 2 4/5
Step 2: Make common denominator aka 15
6 2/3 = 6*3/3 + 2/3 = 18/3 + 2/3 = 20/3
20*5 / 3*5 = 100/15
2 4/5 = 2*5/5 + 4/5 = 10/5 + 4/5 = 14/5
14*3 / 5*3 = 42/15
Step 3: Subtract
100/15 - 42/15
58/15
Answer: 58/15
-x=-y-9
O A. (10,1)
O B. (11,0)
O C. (9,2)
O D. (8, 3)
Answers
Answer:
A. ( 10, 1 )
Step-by-step explanation:
Isolate x for x + y = 11.
x + y = 11
Subtract y from both sides.
x + y - 11 - y
Simplify.
x = 11 - y
Substitute x = 11 - y
[ - ( 11 - y ) = -y - 9 ]
Isolate y for - ( 11 - y ) = -y - 9.
- ( 11 - y ) = -y - 9
Expand - ( 11 - y )
Add 11 to both sides.
-11 + y + 11 = - y - 9 + 11
Simplify.
y = -y + 2
Add y to both sides.
y + y = -y + 2 + y
Simplify.
2y = 2
Divide both sides by 2.
Simplify.
y = 1
Substitute y = 1.
x = 11 - 1
Subtract the numbers: 11 - 1
= 10
x = 10
y = 1
( 10, 1 )
Answers
Answer:
1. $7.55<$7.95
2. 7.4<19.5
3. $2.30>$1.75
4. -4.5 degrees is less than 4.5 degrees.
5. 3.4 inches is less than 6.4 inches.
6. $399.99 is greater than $379.99
Step-by-step explanation: There are certain symbols that mean things in math. < translates to "less than". > translates to "greater than". If the "mouth" is pointed to a number, it is greater. "4>3" translates to "four is greater than three" because the mouth is pointed to a four. "3<4" translates to "three is less than four" because the mouth is pointed to the four on the left. It reads from left to right.
Answers
1/3
Answers
1 1/4 - 1/3 =
= 5/4 - 1/3
We have to find a common denominator which is 12:
5/4 = 15/12
1/3 = 4/12
So now we just substract numerators:
15/12 - 4/12 = 11/12