Answer:
Different ways to solve a system of linear equations:
isolate one variable in one equation and replace it in the other equation
multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
graph the equation and look at the intersection point
If you graph the system:
there is only one solution if the lines intersects at only one point
there is no solution if the lines don't intersect each other (they are parallel)
there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
1. -35x+710 = -25x+570
-10x=-140
x=14
In 14 weeks, Pedro and Maria's accounts will have the same amount.
2. 9x+90 = 13x+50
-4x=-40
x=10
For 10 square yards of carpeting will the cost be the same for both stores.
3. 0.06x+44 = 0.09x+35
-0.09x= -9
x=100
For 100 miles both companies will charge the same price.
4. 15x+250 = 20x+200
-5x= -50
x= 10
It will take 10 weeks for the amount in each savings account to be the same.
5. 25x+250 = 50x
-25x = -250
x = 10
10 stereos must be sold to make the same amount of money under both plans.
Hope this helps!
Answer:
Step-by-step explanation:
abs(9 - 12) = abs(-3) = 3
abs(-3 + 6) = abs(3) = 3
abs(9 - 12) + abs(-3 + 6) = 3 + 3 = 6
Okay I am not 100% sure because that is an extremely confusing question. But here is what I got.
(A) 2c² = 2bc + ac/2 Given
(B) 4c² = 2bc + ac Multiplication and Distribution
(C) 4c = 4b + a Division and Distribution
(D) 4c - a + 4b Subtraction
(E) 4b = 4c - a Symmetric
The bookshelf is one inch smaller that 6.5 feet.
6 feet = 6 x 12 = 72 + 6 in(for the half foot) = 78 inches.
So bookshelf < windows
