Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (3x-5y=-1) and (2x+5y=21), what will be the value of (x)?On solving (x+3y=21) and (3x-y=11), what is the value of (2x+y)?What is the solution of (\frac{x}{2}+\frac{y}{3}=7) and (\frac{x}{3}-\frac{y}{2}=1)?On solving (0.4x+0.3y=3.1) and (0.2x-0.5y=-1.1), what is the value of (y)?If (3x+2y=28) and (5x-4y=8), what is the value of (x-y)?What is the solution of (\frac{2x}{3}+\frac{y}{4}=5) and (\frac{x}{2}-\frac{y}{3}=1)?If (kx+3y=25) and (x-y=2) have solution (x=5,\ y=3), what is the value of (k)?For (4x+ay=12) and (2x+3y=9) to have no solution, what should be the value of (a)?Which ordered pair satisfies (5x+2y=41) and (3x-y=10)?In a two-digit number, the sum of digits is (12) and the tens digit is (4) more than the units digit. What is the number?The sum of the ages of a father and son is (50) years. After (5) years, the father’s age will be (2) times the son’s age. What is the father’s present age?What is the value of (x) from (7x-5y=4) and (2x+5y=41)?On solving (4x+3y=50) and (2x-5y=-6), what is the value of (y)?If (\frac{x+y}{2}=9) and (\frac{x-y}{3}=2), what are the values of (x) and (y)?The price of one pen is (p) and one notebook is (q). If (3p+2q=185) and (2p+5q=215), what is the value of (q)?If (x=7,\ y=4) is a solution of (2x+my=34), what will be the value of (m)?For (6x+9y=18) and (2x+3y=c) to have no solution, which value of (c) is correct?What is the value of (x) from (\frac{x}{3}+\frac{y}{5}=4) and (x-y=6)?On solving (0.5x-0.2y=1.9) and (0.3x+0.4y=2.6), what is (y)?If (3(x+y)+2(x-y)=31) and (2(x+y)-(x-y)=13), what is the value of (x)?