Solve the linear system: x + 2y = 5 and 3x + 4y = 6. Find x and y.

Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

Multiple Choice

Solve the linear system: x + 2y = 5 and 3x + 4y = 6. Find x and y.

Explanation:
Solving a pair of linear equations means finding the single x and y that satisfy both equations at the same time. From x + 2y = 5, write x as 5 - 2y and substitute into the second equation: 3(5 - 2y) + 4y = 6. This gives 15 - 6y + 4y = 6, so -2y = -9 and y = 9/2. Then x = 5 - 2(9/2) = 5 - 9 = -4. The pair (-4, 9/2) makes both equations true: -4 + 9 = 5 and -12 + 18 = 6. Any other listed pair fails to satisfy one of the equations.

Solving a pair of linear equations means finding the single x and y that satisfy both equations at the same time. From x + 2y = 5, write x as 5 - 2y and substitute into the second equation: 3(5 - 2y) + 4y = 6. This gives 15 - 6y + 4y = 6, so -2y = -9 and y = 9/2. Then x = 5 - 2(9/2) = 5 - 9 = -4. The pair (-4, 9/2) makes both equations true: -4 + 9 = 5 and -12 + 18 = 6. Any other listed pair fails to satisfy one of the equations.

More practice questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy