Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
In (13x-6y=8) and (13x+4y=48), what is the value of (y)?If (x+4y=22) and (3x-2y=4), what is the ratio (x:y)?Solving (15x+7y=1) and (5x-7y=39), what is the value of (x)?One number is (8) more than another. The sum of three times one and twice the other is (94). What is the smaller number?If (6x+11y=9) and (12x-11y=63), what is the value of (x-y)?For (4x-9y=31) and (8x+9y=65), what is the value of (y) in the solution?If (2x+5y=16) and (7x-10y=9), what is the value of (4x+y)?In a two-digit number, the sum of digits is (11). On reversing the digits, the number decreases by (27). What is the original number?If (\frac{x}{2}+\frac{y}{3}=7) and (\frac{x}{3}+\frac{y}{2}=8), what is the value of (x+y)?After simplifying and solving \(\frac{x}{4}+\frac{y}{5}=6\) and \(\frac{x}{5}-\frac{y}{4}=1\), what is \(x\)?If (0.2x+0.3y=2.7) and (0.4x-0.1y=1.1), what is the value of (y)?What is the solution of (0.5x-y=1.5) and (x+0.25y=7)?If the solution of (ax+2y=17) and (3x-2y=7) has (x=4), what is the value of (a)?If (4x+ky=26) and (4x-3y=2) have solution (y=4), what is (k)?The equations (px+y=14) and (2x-y=1) have solution (y=5). What is (p)?If (2x+3y=13) and (mx-3y=17) have solution (x=5), what is (m)?A boat covers (30) km downstream in (2) hours and (20) km upstream in (2) hours. What is the speed of the boat in still water?Ram is (4) years older than Shyam. After (5) years, the sum of their ages will be (44). What is Ram's present age?In a test, a correct answer gives (4) marks and a wrong answer gives (-1) mark. Out of (20) questions, the total score is (55). How many answers are correct?The sum of the prices of two tickets is (180) rupees. The costlier ticket is (40) rupees more than the cheaper ticket. What is the price of the costlier ticket?