Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (2x+3y=92) and (3x+2y=98), which is the larger number?What is the value of (x+y) from (4x-3y=7) and (5x+6y=44)?What is the solution of x/4+y/6=5 and x/2−y/3=2?What is the value of (a) for (ax+4y=10) and (3x+6y=15) to have infinitely many solutions?The sum of the digits of a two-digit number is (9). The difference between the number and the number with reversed digits is (27). What is the original number?What is the value of (y) from (7x+2y=32) and (3x-4y=-6)?If (2x+ky=15) and (x-2y=1) have solution (x=5,\ y=2), what is the value of (k)?What is the value of (y) from (\frac{2x-3y}{5}=1) and (\frac{x+y}{2}=6)?In (5x-6y=11) and (3x+2y=9), by what should the second equation be multiplied to eliminate (y)?If (4x+7y=53) and (4x-3y=13), what is the value of (x-y)?The sum of a mother’s and daughter’s ages is (56) years. After (4) years, the mother’s age will be (3) times the daughter’s age. What is the daughter’s present age?What is the solution of (6x+5y=2) and (4x-5y=18)?For (3x+ay=7) and (6x+8y=20) to have no solution, what should be the value of (a)?What is the value of (x+y) from (0.2x+0.5y=3.1) and (0.4x-0.1y=1.3)?On solving (8x-3y=31) and (2x+3y=29), what is (y)?What is the value of (x) from (\frac{x}{5}+\frac{y}{2}=7) and (\frac{x}{3}-\frac{y}{4}=1)?The perimeter of a rectangle is (80) cm and its length is (10) cm more than its breadth. What is the area of the rectangle?If (px+2y=18) and (3x-y=5) have solution (x=4,\ y=7), what is the value of (p)?What will be the value of (y) from (5x+3y=14) and (2x-3y=7)?If (x+y=15) and (2x-3y=10), what is the value of (3x+y)?