Answer:
15) 37 16) -5x+13=-112, x=25 23) l=38, w=19
Step-by-step explanation:
15) l=5w+2, 2l+2w=88
2(5w+2)+2w=88
12w+4=88
w=7, l=37
16a) -5x+13=-112
16b) x=25
23) l=2w, 2l+2w=114
2l+l=114
l=38, w=19
Answer:
6x
2
−3−7x
=6x
2
−7x−3
=6x
2
−9x+2x−3
=3x(2x−3)+1(2x−3)
=(2x−3)(3x+1).
Then, f(x)=0⟹2x−3=0 and 3x+1=0.
Therefore, 2x=3 and 3x−−1.
That is, x=
2
3
, x=
3
−1
.
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
Answer:
12/15 and 24/30 are equivalent fractions
