please solve it this 2 questions
Answers
Step-by-step explanation:
2.a)(x−6)(x+7)=(x+3)(x−11)
Step 1: Simplify both sides of the equation.
x^2+x−42=x^2−8x−33
Step 2: Subtract x^2 from both sides.
x^2+x−42−x^2=x^2−8x−33−x^2
x−42=−8x−33
Step 3: Add 8x to both sides.
x−42+8x=−8x−33+8x
9x−42=−33
Step 4: Add 42 to both sides.
9x−42+42=−33+42
9x=9
x=1
b)(x+7)(x+9)=(x+3)(x+21)
x^2+9x+7x+63=x^2+21x+3x+63
x^2+16x+63=x^2+24x+63
x^2+16x+63-x^2-24x-63=0
16x-24x=0
-8x=0
x=0:(-8)
x=0
c)(x+1)(x+2)=(x-3)(x-4)
x^2+3x+2=x^2-7x+12
x^2+3x+2-x^2+7x-12=0
10x-10=0
10x=0+10
10x=10
x=1
d)(x+2)/(x+5)=x/(x+6)
(x+2)(x+6)=x*(x+5)
x^2+8x+12=x^2+5x
x^2+8x+12-x^2-5x=0
3x+12=0
3x=-12
x=-4
e)(5x-7)/(3x+1)=1
5x-7=1*(3x+1)
5x-7=3x+1
5x-7-3x-1=0
2x-8=0
2x=8
x=8/2
x=4
f)(3x-8)/(2x-5)=1/3
(3x-8)*3=(2x-5)*1
9x-24=2x-5
9x-24-2x+5=0
7x-19=0
7x=19
x=19/7
g)(5x+2)/(x-3)=-9/4
(5x+2)*4=(x-3)*(-9)
20x+8=-9x+27
20x+8+9x-27=0
29x-19=0
29x=19
x=19/29
h)3/(x-1)-2/(x-2)=1/(x-3)
((3(x-2)-2(x-1))/((x-1)(x-2))=1/(x-3)
(3X-6-2x+2)/(x^2-3x+2)=1/(x-3)
(x-4)/(x^2-3x+2)=1/(x-3)
(x-4)*(x-3)=(x^2-3x+2)*1
x^2-7x+12=x^2-3x+2
x^2-7x+12-x^2+3x-2=0
-4X-10=0
-4x=10
x=10/(-4)
x=5/2
i.x/3+7=2x/3+2
1x/3-2x/3=2-7
-1x/3=-5
-x=-5*3
-x=-15
x=15
j.x/3-7=2x/3+2
x/3-2x/3=2+7
-x/3=9
-x=9*3
-x=27
x=-27
k.(m-17)/2=2m-7
m-17=(2m-7)*2
m-17=4m-14
m-4m=-14+17
-3m=3
m=3/(-3)
m=-1
l/7-x=(2x-7)/5
(2x-7)/5=7-x
2x-7=(7-x)*5
2x-7=35-5x
2x-7-35+5x=0
7x-42=0
7x=0+42
7x=42
x=42/7
x=6
m.x/2-(x-4)/6=5/3
((x*6)-2(x-4))/2*6=5/3
6x-2x+8=5/3*12
6x-2x+8=20
4x=20-8
4x=12
x=3
3.
10-y=y-10
10+10=y+y
20=2y
20/2=y
10=y
Answer:
2a x =1
b x = 0
c x = 1
d x = -4
e x = 2