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Linear and Quadratic Equations · Question 16 of 66

Question 16

EasyOriginal question

Solve 5x+3y=295x + 3y = 29 and 2x−3y=−12x - 3y = -1. What is the value of yy?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Add the two equations: the yy terms cancel and 7x=287x = 28, so x=4x = 4.

  2. Put x=4x = 4 in the first equation: 20+3y=2920 + 3y = 29, so 3y=93y = 9.

  3. Hence y=3y = 3.

Worth noting

4 is xx, not yy; 9 is 3y3y; and −3-3 comes from writing 3y=20−293y = 20 - 29.

Concept
Elimination by adding equations
Typical time
40 s
Your time
—
The rule this testsPairs of linear equations
Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.