Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (2(x+y)+3(x-y)=41) and (3(x+y)-2(x-y)=34), what is the value of (y)?If (3x+4y=141) and (4x+3y=145), what is the value of (x-y)?What is the value of (x+y) from (5x-4y=17) and (6x+8y=92)?What is the solution of (\frac{x}{6}+\frac{y}{4}=5) and (\frac{x}{3}-\frac{y}{2}=1)?A two-digit number is (7) times the sum of its digits. If the tens digit is (2) more than the units digit, what is the number?What is the value of (y) from (9x+5y=97) and (4x-5y=-12)?If \(3x+ky=40\) and \(x+2y=13\) have solution \(x=6,\ y=\frac{7}{2}\), what is the value of (k)?What is the value of (x) from (\frac{3x-y}{4}=5) and (\frac{x+2y}{3}=7)?In (4x-9y=13) and (5x+3y=41), by what number should the second equation be multiplied to eliminate (y)?If (6x+5y=64) and (6x-2y=29), what is the value of (x-y)?The sum of a mother’s and son’s ages is (64) years. Four years ago, the mother’s age was (3) times the son’s age. What is the son’s present age?What is the solution of (7x+6y=5) and (5x-6y=31)?For (5x+ay=11) and (10x+6y=30) to have no solution, what should be the value of (a)?What is the value of (x+y) from (0.4x+0.7y=5.3) and (0.8x-0.2y=3.8)?On solving (9x-4y=52) and (3x+4y=20), what is (y)?What is the value of (x) from (\frac{x}{5}+\frac{y}{3}=7) and (\frac{x}{2}-\frac{y}{4}=4)?The perimeter of a rectangle is (96) cm and its length is (12) cm more than its breadth. What is the area of the rectangle?If (px+3y=27) and (2x-y=9) have solution (x=5,\ y=1), what is the value of (p)?What is the value of (y) from (7x+2y=16) and (4x-2y=17)?If (x+y=24) and (3x-2y=37), what is the value of (2x+y)?