0, 3
- 10, 15
= -10, -12
therefore, the slope is 6/5, and the intercept (c) is as supplied, 3.
the equation, y=mx+c or y = a + bx, can be applied here where m or b = 6/5, and a or c = 3.
therefore the equation is y=6/5x+3.
To test this, you can put in y = 10(6/5)+3, which spits out y = 15. This way we know it *should* work.
<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
Call T the price of the T-shirts and P de price of the jeans
Initially (without discount)
2T + P = 40
One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60
To solve the system of equations multiply the second equation by 2 and substract it from the first equation
2 T + 5P = 120
- (2 T + P = 40 )
________________
4P = 80
P = 80/4
P = 20
From 2T + P = 40
T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.
The price of a T-shirt is $10 and the price of a pair of jeans is $20.
Answer:
True
Step-by-step explanation:
One for 5.8 and one for 1.2
Hope this helps
