Maths-
General
Easy
Question
Solve the following by using the method of substitution
X = 4Y+1
2Y - 3X = - 23
Hint:
find y by substituting x (in terms of y) in the equation and find x by substituting value of y in the equations.
The correct answer is: x = 9 ; y = 2
Ans :- x = 9 ; y = 2
Explanation
⇒ x = 4y +1 — eq 1
2y- 3x = -23—- eq 2
Step 1 :- find y by x = 4y + 1 in eq 2.
2y -3 (4y + 1 ) = -23 ⇒ 2y - 12y - 3 = -23
⇒ -10y = 3 -23 ⇒ -10y = -20
⇒ y = 2
Step 2 :- substitute value of y and find x
⇒ x = 4y + 1⇒ x = 4 (2) +1
⇒ x = 8+1
∴ x = 9
∴ x = 9 and y =2 is the solution of the given pair of equations.
Related Questions to study
Maths-
An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.
a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.
b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.
An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.
a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.
b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.
Maths-General
Maths-
Find the value of x.
Find the value of x.
Maths-General
Maths-
Find the value of x.
Find the value of x.
Maths-General
Maths-
The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?
The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?
Maths-General
Maths-
Find the odd one out.
Find the odd one out.
Maths-General
Maths-
Ella is a landscape photographer . One weekend at her gallery she sells a total of 52 prints for a total of $ 2,975. How many of each size print did Ella sell?
Ella is a landscape photographer . One weekend at her gallery she sells a total of 52 prints for a total of $ 2,975. How many of each size print did Ella sell?
Maths-General
Maths-
Use Substitution to solve each system of equations :
Y = 6-X
4X - 3Y = -4
Use Substitution to solve each system of equations :
Y = 6-X
4X - 3Y = -4
Maths-General
Maths-
At time t = 0 , water begins to drip out of a pipe into an empty bucket. After 56 minutes , 8 inches of water are in the bucket What linear function in the form y= mx + b represents the amount of water in inches W, in the bucket after t minute?
At time t = 0 , water begins to drip out of a pipe into an empty bucket. After 56 minutes , 8 inches of water are in the bucket What linear function in the form y= mx + b represents the amount of water in inches W, in the bucket after t minute?
Maths-General
Maths-
Find the value of x if 𝑚∠𝑃𝑂𝑅 = 30°
Find the value of x if 𝑚∠𝑃𝑂𝑅 = 30°
Maths-General
Maths-
Solve the following by using the method of substitution
X = 3Y - 5
3Y + 5X = 11
Solve the following by using the method of substitution
X = 3Y - 5
3Y + 5X = 11
Maths-General
Maths-
X - 3Y = - 4
2X - 6Y= 6
X - 3Y = - 4
2X - 6Y= 6
Maths-General
Maths-
Find the odd one out.
Find the odd one out.
Maths-General
Maths-
A Car moving at a constant speed passes a timing device at t = 0 . After 8 seconds , the car has travelled 840 feet. What linear function in the form Y = mx + b represents the distance in feet d , the car has travelled any number of seconds , t , after passing the timing device?
A Car moving at a constant speed passes a timing device at t = 0 . After 8 seconds , the car has travelled 840 feet. What linear function in the form Y = mx + b represents the distance in feet d , the car has travelled any number of seconds , t , after passing the timing device?
Maths-General
Maths-
Which statement is true by angle addition postulate?
a. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐴𝑂𝐷
b. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐵𝑂𝑃 = 𝑚∠𝐴𝑂𝑃
c. 𝑚∠𝐵𝑂𝑃 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐵𝑂𝐷
Which statement is true by angle addition postulate?
a. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐴𝑂𝐷
b. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐵𝑂𝑃 = 𝑚∠𝐴𝑂𝑃
c. 𝑚∠𝐵𝑂𝑃 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐵𝑂𝐷
Maths-General
Maths-
What is a linear function in the form y = mx + b for the line passing through (4.5 , - 4.25) with y – intercept 2.5?
What is a linear function in the form y = mx + b for the line passing through (4.5 , - 4.25) with y – intercept 2.5?
Maths-General
