Linear Equation...

Which of the following coordinates satisfy the linear equation 7y – 5 = 8x?

At which of the following points will the lines x - y = 0 and x + 0y = 3 intersect?

Find the value of m if the point (m, 8) lies on the graph which is represented by equation 8x – 5y = -8.

Which of the following is the solution for both the linear equations 9x + 4y = 38 and 10x + 3y = 35 simultaneously?

Which of the following lines meets the y-axis at -9?

A cook is roasting a chicken. For every kilogram the chicken weighs, he needs to cook it for 28 minutes and then an additional 30 minutes in total.

What will be the linear equation for the above information, if t (in minutes) is the total time taken to roast and k represents every kilogram?

Which of the following statements is correct?

Which of the following is the correct linear equation for the graph plotted below?

On comparing the linear equation x – 2y = 3 with , the value of 3c comes out to be ...

Where do the points (1, 3), (2, 3), (3, 3) and (4, 3) lie on a graph?

Which of the following points lies on the graph of the linear equation ax – by = c, where a, b, c ≠ 0?

Which of the following equations has (3, -4) as its solution?

In the linear equation ax – my + n = 0, if x = 2m, then which of the following represents the value of 'y'?

The sum of five times A's money and two times B's money is 10, and A's money and B's money are represented by x and y respectively. How will you represent this situation on a graph?

Find the value of y from the given equations:

5x + y + 15 = 0, 20x – 15y = 35

Find the value of y in the following set of equations.

+ = 5 --- (i)
+ = --- (ii)

Some football stats are analysed and are such that:

The numbers of goals scored by four players R, M, L and X in two seasons are 50, 18, 20 and 12. The total goals scored in two seasons by these five players R, M, L, X and T are 150 and the sum of the numbers of goals scored by players B and E is equal to the number of goals scored by T. If E scored half of the goals scored by S and S scored three-fifths of the goals scored by L, then what is the number of goals scored by B in two seasons?

In a basketball match, Team A and Team B scored the number of the three pointers equal to Team C, which scored 20 three pointers. It was found that the score was miscalculated and was therefore calculated again. It was found that Team C scored 30 three pointers and Team B scored 13 three pointers. It was found that coincidentally the number of three pointers scored by Team A was same as the previous result.

What was the number of three pointers scored by Team D, if the numbers of three pointers of Team B (actual), Team A (actual) and Team B (miscalculated) when add up make the same score as Team D?

Which of the given options represents the same condition as discussed below?

The price of a chocolate ice-cream and a vanilla ice-cream when added together is Rs. 20. The price of a vanilla ice-cream is quarter of the price of an ice-cream brick. The price of an orange ice-cream when doubled is Rs. 4 more than the price of a chocolate ice-cream.
(Assume the price of a chocolate ice-cream be Rs. a, the price of a vanilla ice-cream be Rs. b, Price of an ice-cream brick = Rs. c,Price of an orange ice-cream = Rs. d)

Ram is paid Rs. 50 for delivering letters at the end of the week. On delivering each letter, he is paid Rs. 2. Shyam is paid Rs. 20 for delivering birthday cards at the end of each week. On delivering each card, he is paid Rs. 5. The money that Ram gets after a week is exactly the same as the money Shyam gets after two weeks.
(Assume that the number of letters delivered by Ram is x and the number of birthday cards delivered by Shyam is y.)

Which of the given options satisfies the above situation?

Fill in the blanks:

1. The diameter of a circle is 14 cm and its centre is at (0, 1). It intersects the Y-axis at Y = A .
2. If X = 2 and Y = 3 are a solution for the equation 4X + kY = 17, then the value of k is B .
3. A line with equation Y - 7 = 0 cuts the X-axis at C point(s).
4. In equation= -10, the solution is ( D , 20)

In a rectangle, the width is 12 cm more than one quarter of the length. Length is denoted by X cm and perimeter iscm.
(i). If the value of Y is 868, then what is the width of the rectangle?
(ii). If the width of the rectangle is 27 cm, then what is the value of Y?

Select one alternative among A, B, C, D from below.

Which of the following sets of equations represents the triangle given in the graph?

Fill in the blanks.

(I) A hotel charges Rs. 4450 as fixed rent and Rs. 500 per day. The total amount in terms of 'y' if Amit stayed for 'x' days is _____P____.
(II) Mani has Rs. 1400 more than thrice the amount of money Sanpreet has. If 'y' represents the amount of money Mani has and 'x' represents the amount of money Sanpreet has, then the equation ____Q___ represents this situation.
(III) The length of a rectangle is 6 more than its width. If the perimeter of the rectangle is 104 cm, then the length of the rectangle is ___R____ cm.
(IV) The equation P = 4s describes the relationship between perimeter P of a square and length of each side s. The coordinates that satisfy the equation are ____S_____.

Which of the following equations are represented by the following graph?