Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
The perimeter of a rectangle is (58) cm and its length is (7) cm more than its breadth. What is the breadth of the rectangle?If (4x+7y=58) and (6x-5y=6), what is the ratio (x:y)?Which is the solution of the equations (11x+3y=47) and (5x-2y=4)?If (13x-4y=39) and (2x+3y=31), what is the value of (x+y)?In a fraction, the denominator is (5) more than the numerator. If (1) is added to both numerator and denominator, the fraction becomes (\frac{2}{3}). What is the original fraction?If (2x+ky=19) and (x+y=7) have solution (x=5), what will be the value of (k)?In the equations (5x+6y=52) and (7x-3y=11), what is the value of (3x-y)?If (12x+5y=61) and (3x-2y=4), what is the value of (x-y)?A boat travels (36) km downstream in (3) hours and (24) km upstream in (3) hours. What is the speed of the boat in still water?A bag has a total of (32) notes of (10) rupees and (5) rupees. The total amount is (245) rupees. How many (10)-rupee notes are there?If (ax+3y=25) and (2x-y=5) have solution (y=3), find the value of (a).Find (x) and (y) from the equations (15x-8y=22) and (5x+4y=34).If (4x-9y=-17) and (8x+3y=31), what is the value of (x+3y)?The first number is (3) less than twice the second number. Their sum is (42). What is the smaller number?A father's age is (2) years more than (4) times his son's age. After (8) years, the father's age will be (3) times the son's age. What is the son's present age?If (3x+4y=2) and (9x+12y=6), which statement about the solutions is correct?If (2x-5y=7) and (6x-15y=10), what type of pair of equations is it?If (kx+2y=16) and (3x-y=5) have solution (x=4), what is the value of (k)?On solving the equations (14x+3y=59) and (2x+y=11), what are the values of (x) and (y)?If (6x-7y=-8) and (4x+5y=38), what is the value of (x+y)?