Solution of Linear Equation in 2 Variables
- (−4929, 1439)
- (3, −1929)
- (−1329, 1429)
- (4929, 1929)
The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point:
A) (2, 0)
B) (0, 3)
C) (3, 0)
D) (0, 2)
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs x and per day charges are Rs y, write the linear equation representing the above information.
Swati starts her job with certain monthly salary and earns a fixed increment every year. If her salary was Rs 22500 per month after 6 years of service and Rs 30000 per month after 11 years of service. Find her salary after 8 years of service (in Rs)
The ratio of incomes of two persons A and B is and the ratio of their expenditures is . If their savings are annually find their annual incomes. What value will be promoted if the expenditure is under control?
If (2k - 1, k) is a solution of the equation 10x - 9y = 12, then k =
If x=1, y=2 is a solution of equation a^2 x +ay =3, then find the value of a
Solve the following pair of linear equations by the substitution methods:
A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digit are x and y respectively, write the linear equation representing the above statement.
Express y in the term of x given that 2 x - 5 y = 7 check weather the (-3, -2) lies on the graph of the given linear equation
Form the pair of linear equations for the following problems and find their solution by substitution method:
The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.
Write four solutions for the given equation:
If (4, 19) is a solution of the equation y=ax+3, then a =
If x=1 and y=6 is a solution of the equation 8x−ay+a2=0, find the values of a.
The linear equation that converts Fahrenheit (F) to Celsius (C) if is given by the relation, C=5F−1609
(i) If the temperature is 86∘F, what is the temperature in Celsius?
(ii) If the temperature is 35∘C, what is the temperature in Fahrenheit?
(iii) If the temperature is 0∘C, what is the temperature in Fahrenheit and if the temperature is 0∘F, what is the temperature in Celsius?
(iv) What is the numerical value of the temperature which is same on both the scales?
Plot the points (3, 5) ad (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1, 4).
- Man = 50 years Son = 25 years
- Man = 60 years Son = 20 years
- Man = 50 years Son = 20 years
- Man = 50 years Son = 10 years
If (a, 4) lies on the graph of 3x + y = 10, then the value of a is
Write two solutions for each of the following equations:
(i) 3x+4y=7 (ii) x=6y (iii) x+πy=4 (iv) 23x−y=4
Check which of the following are solutions of the equation 2x−y=6 and which are not: (i) (3, 0) (ii) (0, 6) (iii) (2, −2) (iv) (√, 0) (v) (12, −5)
Give the equations of two lines passing through . How many more such lines are there, and why?
How many linear equations are satisfied by x = 2 and y = -3?
If of is equal to of , of is equal to of and of is equal to of , then the value of is.
Let y varies directly as x. if y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?
The number of days in weeks and days is
How do you find the solution of the system of equations and ?
The point(-4, -1) lies on a line of the equation
Find the X intercept of 3x - 4y = 12