Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
6x + 5 = 2x + 17
We have
6x + 5 = 2x+ 17
Transposing 2x to LHS and 5 to RHS, we get
6x – 2x = 17 – 5
4x = 12
Dividing both sides by 4, we get
4x/4 = 12/4
x = 3
Verification:
Substituting x = 3 in the given equation, we get
6 × 3 + 5 = 2 × 3 + 17
18 + 5 = 6 + 17
23 = 23
LHS = RHS
Hence, verified.
2(5x – 3) -3(2x – 1) = 9
2(5x – 3) – 3(2x – 1) = 9
Expanding the brackets, we get
2 × 5x – 2 × 3 – 3 × 2x + 3 × 1 = 9
10x – 6 - 6x + 3 = 9
10x – 6x – 6 + 3 = 9
4x – 3 = 9
Adding 3 to both sides, we get
4x – 3 + 3 = 9 + 3
Thus, x = 3.
Substituting x = 3 in LHS, we get
= 2(5 × 3 – 3) – 3(2 × 3 – 1)
= 2 × 12 – 3 × 5
= 24 – 15
= 9
3 = 2 + 1
3 = 3
On expanding the brackets on both sides, we get
3(x – 3) = 5(2x + 1)
= 3 × x – 3 × 3 = 5 × 2x + 5 × 1
= 3x – 9 = 10x + 5
Transposing 10x to LHS and 9 to RHS, we get
= 3x – 10x = 9 + 5
= -7x = 14
Dividing both sides by 7, we get
= –7x/7 = 14/7
=x = -2
Substituting x = -2 on both sides, we get
3(-2 – 3) = 5{2(-2) +1}
3(-5) = 5(-3)
-15 = -15
3x – 2(2x – 5) = 2(x + 3) – 8
= 3x – 2 × 2x + 2 × 5 = 2 × x + 2 × 3 – 8
= 3x – 4x + 10 = 2x + 6 – 8
= -x + 10 = 2x – 2
Transposing x to RHS and 2 to LHS, we get
= 10 + 2 = 2x + x
= 3x = 12
Dividing both sides by 3, we get
= 3x/3 = 12/3
= x = 4
Substituting x = 4 on both sides, we get
3(4) – 2{2(4) – 5} = 2(4 + 3) – 8
12 – 2(8 – 5) = 14 – 8
12 – 6 = 6
6 = 6
Transposing x/4 to LHS and – (1/2) to RHS, we get
Multiplying both sides by 4, we get
Dividing both sides by 2, we get
= 2x/2 = 14/2
= x = 7
Substituting x = 7 on both sides, we get
Multiplying both sides by 18, we get
Transposing 1 to RHS, we get
= 15x = 6 – 1
= 15x = 5
Dividing both sides by 15, we get
= 15x/15 = 5/15
=x = 1/3
Verification :
Substituting x = 1/3 both sides, we get
Dividing both sides by 5, we get
= 5m/5 = 7/5
= m = 7/5
Substituting m = 75 on both sides, we get
Multiplying both sides by 3, we get 3
Subtracting 1 from both sides, we get
= 3x + 1 – 1 = 3 – 1
= 3x = 2
= 3x + 1 - 1 = 3 -1
= 3x/3 = 2/3
= x = 2/3
Substituting x = 2/3 in LHS, we get
= RHS
LHS = RHS Hence, verified.
0.6x + 4/5 = 0.28x + 1.16
Transposing 0.28x to LHS and 45 to RHS, we get
= 0.6x – 0.28x = 1.16 – 45
= 0.32x = 1.16 – 0.8
= 0.32x = 0.36
Dividing both sides by 0.32, we get
= 0.32 x 0.32 = 0.360.32
= x = 98
Substituting x = 98 on both sides, we get
0.6(9/8) + 45 = 0.28(9/8) + 1.16
5.4/8 + 4/5 = 2.52/8 + 1.16
0.675 + 0.8 = 0.315 + 1.16
1.475 = 1.475
0.5x + x/3 = 0.25x + 7
Transposing x/4 to LHS, we get
Multiplying both sides by 12, we get
= x = 12
Substituting x = 12 on both sides, we get
0.5(12) + (12)3 = 0.25(12) + 7
6 + 4 = 3 + 7
10 = 10
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Chapter 8: Linear Equations in One Variable...