Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
If they all painted at the same rate the equation is this
mothers 8
daughters 12 at 220 sq ft
mothers 6
daughters 8 at 152 sq ft
220 +152 =372 divided by 34 (because they all painted at the same rate)=10.94 sq ft they each painted
Answer:
5/4
Step-by-step explanation:
You just need to multiply 1/2 by 2 to give you a common denominator:
3/4+2/4
From there you can add the numerators:
5/4
HTH :)
Answer:
In order to get this perfect square trinomial, the factored form will be (a - b)^2
Step-by-step explanation:
We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.