Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (3(x+y)+2(x-y)=41) and (2(x+y)-3(x-y)=-1), what is the value of (x)?If \(\frac{2}{x}+\frac{3}{y}=13\) and \(\frac{3}{x}-\frac{2}{y}=4\), what is the value of \(\frac{1}{x}\)?Solving (2(x-1)+3(y+2)=25) and (4(x-1)-3(y+2)=5), what is (x+y)?If (5(2x-y)-3(x+y)=11) and (2(2x-y)+4(x+y)=50), what is the value of (y)?Solving (8x+3y=46) and (5x-3y=19) by elimination, what is the value of (x)?If (4x-y=11) and (2x+3y=29), what is the value of (y) by substitution?For (7x+2y=39) and (3x-2y=1), what is the value of (x+y) in the solution?If (9x-5y=17) and (2x+5y=27), what is the value of (x-y)?Solving (6x+7y=55) and (6x-2y=10), what is the value of (y)?If \(3x+4y=26\) and \(5x-2y=22\), what is the value of (2x+y)?Which is the correct solution of (11x+4y=68) and (7x-4y=4)?If (x=3y-2) and (2x+y=33), what is the value of (x+y)?In (13x-6y=1) and (13x+9y=61), what is the value of (y)?If (4x+5y=7) and (8x-5y=29), what is the value of (3x-y)?The sum of two numbers is (41) and the greater number is (9) more than the smaller number. What is the greater number?In a fraction, the denominator is (5) more than the numerator. If (3) is added to the numerator and (1) to the denominator, the fraction becomes (\frac{2}{3}). What is the original fraction?Three pencils and two erasers cost (31) rupees. Two pencils and five erasers cost (47) rupees. What is the price of one pencil?If (2x+3y=18) and (5x+3y=42), what is the ratio (x:y)?Solving (5x-12y=-1) and (10x+12y=61), what is the value of (xy)?The sum of the length and breadth of a rectangle is (37) cm. The length is (11) cm more than the breadth. What is the breadth?