Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
For (2x+7y=31) and (5x-7y=4), what is the value of (x+y) in the solution?If (5x+3y=28) and (2x-y=1), what is the value of (xy)?Solving (9x-4y=11) and (3x+4y=25), what is the value of (x-y)?If (4x+9y=41) and (4x-3y=5), what is the value of (y)?For (7x+2y=30) and (x-2y=-6), what is the value of (2x+y)?If (x=2y+1) and (3x-y=17), what is the value of (x)?What is the solution of (8x-3y=13) and (2x+3y=17)?If (11x+6y=70) and (11x-4y=20), what is the value of (x+2y)?The sum of two numbers is (23) and their difference is (7). By substitution, what is the greater number?In a fraction, the numerator is (3) less than the denominator. If (2) is added to both numerator and denominator, the fraction becomes (\frac{4}{5}). What is the original fraction?If (2x+3y=27) and (5x+3y=48), what is the ratio (x:y)?Solving (12x-5y=19) and (6x+5y=35), what is the value of (3x-y)?If (4x+7y=1) and (8x-7y=35), which ordered pair of (x) and (y) is correct?Solving (3x+5y=34) and (6x-y=27), what is (x+y)?If (5x-8y=-1) and (10x+8y=46), what is the value of (y-x)?The perimeter of a rectangle is (64) cm and its length is (6) cm more than its breadth. What is the length?If (7x-3y=20) and (14x+3y=64), what is the value of (2x+y)?Solving (2x-y=9) and (5x+2y=12), what is the value of (x)?Three pens and two notebooks cost (86) rupees. Two pens and three notebooks cost (89) rupees. What is the price of one pen?If (9x+2y=41) and (3x-2y=-5), what is the value of (x+3y)?