Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (15x+2y=54) and (5x-2y=6), what is the value of (x+2y)?Solving (x-4y=-14) and (3x+2y=32), what is the value of (y)?If (2x-7y=5) and (4x+7y=43), which pair of (x) and (y) is correct?The sum of the digits of a two-digit number is (13). On reversing the digits, the number decreases by (45). What is the original number?If (\frac{x}{3}+\frac{y}{4}=7) and (\frac{x}{4}+\frac{y}{3}=8), what is the value of (x+y)?Solving \(\frac{x}{5}-\frac{y}{2}=1\) and \(\frac{x}{2}+\frac{y}{5}=11\), what is the value of \(x\)?If (0.3x+0.2y=3.1) and (0.6x-0.2y=2.3), what is the value of (x)?Solving (0.25x+y=9) and (x-0.5y=2), what is the value of (y)?If (ax+3y=25) and (2x-3y=5) have solution (x=5), what is the value of (a)?If (4x+ky=34) and (4x-2y=10) have solution (y=3), what is (k)?The equations (px+y=17) and (3x-y=7) have solution (y=2). What is (p)?If (3x+2y=28) and (mx-2y=12) have solution (x=5), what is (m)?A boat covers (42) km downstream in (3) hours and (30) km upstream in (3) hours. What is the speed of the stream?In an exam, a correct answer gives (5) marks and a wrong answer gives (-2) marks. Out of (30) questions, the total score is (108). How many answers are correct?Ram is (6) years older than Shyam. After (4) years, the sum of their ages will be (50). What is Ram's present age?The sum of the prices of two tickets is (275) rupees. The costlier ticket is (65) rupees more than the cheaper ticket. What is the price of the cheaper ticket?If (3(x+y)+4(x-y)=59) and (5(x+y)-2(x-y)=37), what is the value of (x)?If (\frac{3}{x}+\frac{2}{y}=13) and (\frac{2}{x}-\frac{1}{y}=3), what is the value of (\frac{1}{x})?Solving (3(x-2)+2(y+1)=31) and (5(x-2)-2(y+1)=21), what is (x+y)?If (4(2x-y)+3(x+y)=53) and (2(2x-y)-5(x+y)=-17), what is the value of (y)?