Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
What is the value of (x-y) from (\frac{x+3y}{4}=9) and (\frac{2x-y}{3}=5)?What is the number of solutions of (3x+5y=20) and (6x+10y=40)?Which statement is correct about (3x+5y=20) and (6x+10y=43)?What is the value of (y) from (5x+8y=86) and (7x-4y=38)?If (5a+4b=352) and (3a+7b=394), what is the value of (b)?What is the value of (x+2y) from (8x-3y=54) and (2x+3y=21)?If (x=4y-7) and (3x+2y=59), what is the value of (y)?In a class, there are (74) students. Three times the number of boys plus twice the number of girls is (186). What is the number of girls?If (4x-5y=-7) and (6x+5y=57), what is the value of (3x+y)?What is the solution of (3(x+y)=57) and (4(x-y)=28)?Under which condition is one variable eliminated when two linear equations are added directly?On solving (0.4x+0.7y=6.2) and (0.3x-0.2y=1.1), what is the value of (y)?If (5x-3y=19) and (2x+3y=26), what is the value of (x-y)?What is the solution of (\frac{x}{4}+\frac{y}{5}=6) and (x-y=4)?If (2x+3y=41) and (5x-2y=14), what is the value of (2x+y)?If (kx+4y=38) and (x-y=3) have solution (x=7,\ y=4), what will be the value of (k)?For (6x+ay=24) and (2x+3y=11) to have no solution, what is the value of (a)?Which ordered pair satisfies (8x-5y=7) and (3x+5y=48)?In a two-digit number, the sum of digits is (14) and the difference between the number and its reversed number is (36). What is the original number?The sum of a father’s and son’s ages is (56) years. Six years ago, the father’s age was (3) times the son’s age. What is the father’s present age?