Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
Find the value of (y) in the equations (9x+8y=73) and (3x-2y=7).If (5x+2y=28) and (7x-3y=19), what will be the value of (2x-y)?One number is (9) more than the other and their sum is (51). What is the larger number?In a two-digit number, the tens digit is (4) more than the units digit. On reversing the digits, the number becomes (36) less than the original number. What is the original number?If (3x+11y=67) and (6x-y=23), what is the ratio (x:y)?The difference between the length and breadth of a rectangle is (8) m. If its perimeter is (72) m, what is its area?If \(2x+3y=18\) and \(5x-4y=1\), find the value of (x-2y).In a class, the total number of boys and girls is (48). The number of boys is (6) more than the number of girls. What is the number of girls?If (8x-3y=2) and (5x+6y=41), what is the value of (4x+y)?In a fraction, the numerator is (3) less than the denominator. If (2) is added to the numerator and (1) to the denominator, the fraction becomes (\frac{3}{4}). What is the original fraction?If (4x+ay=35) and (x-y=1) have solution (x=6), what is the value of (a)?What is the solution of the equations (10x+7y=87) and (2x-y=7)?If (7x+2y=53) and (9x-4y=27), what will be the value of (xy)?A boat travels (45) km downstream in (3) hours and (35) km upstream in (5) hours. What is the speed of the stream?A shopkeeper sold (12) pens and (8) pencils for (184) rupees. (5) pens and (6) pencils were sold for (88) rupees. What is the price of one pen?If (3x+2y=25) and (mx-y=10) have solution (y=5), what will be the value of (m)?Choose the correct statement about the solutions of (4x+6y=30) and (6x+9y=45).If (5x-10y=20) and (x-2y=9), what is correct about the pair of equations?The sum of the present ages of a father and son is (56) years. (4) years ago, the father's age was (5) times the son's age. What is the son's present age?If (11x-5y=13) and (7x+10y=74), what is the value of (x+2y)?