Mathematics
Algebraic methods: Substitution method and Elimination method.
Practice questions
If (4x-3y=7) and (2x+5y=31), what is the value of (x-y)?If (7x+2y=36) and (3x-4y=2), what is the value of (2x+y)?If (5x+3y=29) and (2x-y=4), what is the value of (xy)?What is the solution of (\frac{x}{2}+\frac{y}{5}=6) and (x-y=4)?On solving (0.3x+0.2y=2.7) and (0.5x-0.1y=1.4), what is (y)?If (4x+7y=71) and (6x-7y=29), what is the value of (x+2y)?What is the value of (x) from (\frac{x}{3}+\frac{y}{4}=5) and (\frac{x}{2}-\frac{y}{5}=3)?If (kx+5y=42) and (x-y=3) have solution (x=8,\ y=5), what is the value of (k)?For (6x+ay=18) and (2x+3y=11) to have no solution, what should be the value of (a)?Which ordered pair satisfies \(7x-3y=22\) and \(2x+3y=23\)?In a two-digit number, the sum of digits is (13). The difference between the number and its reversed number is (45). What is the original number?The sum of two numbers is (52). Three times the larger number plus twice the smaller number is (136). What is the larger number?What is the value of (x) from (9x-4y=41) and (3x+4y=19)?On solving (5x+4y=73) and (3x-2y=19), what is the value of (y)?If (\frac{x+y}{3}=7) and (\frac{x-y}{4}=2), what is the value of (x-y)?The price of one pen is (p) and one pencil is (q). If (4p+3q=177) and (2p+5q=151), what is (p)?If (x=6,\ y=2) satisfies (2x+my=26), what is the value of (m)?For (8x+12y=40) and (2x+3y=c) to have no solution, which value of (c) is correct?What is the value of (x) from (\frac{x}{4}+\frac{y}{7}=6) and (x-y=5)?On solving (0.6x-0.3y=2.7) and (0.2x+0.5y=3.1), what is (x)?