Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
On solving (7x+4y=58) and (3x-4y=22), what is the value of (y)?If \(\frac{x+y}{4}=6\) and \(\frac{x-y}{5}=2\), what are the values of \(x\) and \(y\)?The price of one pen is (p) and one notebook is (q). If (3p+4q=260) and (5p+2q=300), what is the value of (q)?If (x=5,\ y=2) is a solution of (3x+my=29), what will be the value of (m)?For (12x+18y=54) and (2x+3y=c) to have no solution, which value of (c) is correct?What is the value of (x) from (\frac{x}{5}+\frac{y}{6}=7) and (x-y=6)?On solving (0.2x+0.8y=5.6) and (0.5x-0.3y=2.7), what is (x)?If (4(x+y)+3(x-y)=62) and (2(x+y)-5(x-y)=-2), what is the value of (y)?If (5x+6y=142) and (6x+5y=144), what is the value of (x-y)?What is the value of (x+y) from (4x-7y=9) and (6x+7y=71)?What is the solution of \(\frac{x}{8}+\frac{y}{4}=5\) and \(\frac{x}{4}-\frac{y}{6}=2\)?A two-digit number is (7) times the sum of its digits and the tens digit is (3) more than the units digit. What is the number?What is the value of (y) from (11x+4y=91) and (5x-4y=21)?If (x=9,\ y=5) is a solution of (4x+ky=55), what is the value of (k)?What is the value of \(x\) from \(\frac{2x-y}{5}=4\) and \(\frac{x+3y}{4}=8\)?In (6x-15y=9) and (4x+5y=23), by what should the second equation be multiplied to eliminate (y)?If (7x+6y=70) and (7x-4y=20), what is the value of (x-y)?The sum of a mother’s and daughter’s ages is (66) years. After (6) years, the mother’s age will be (2) times the daughter’s age. What is the daughter’s present age?What is the solution of (8x+5y=4) and (4x-5y=20)?For (4x+ay=16) and (8x+10y=45) to have no solution, what is the value of (a)?