Year 11 Maths - Methods Linear Relations

Intersection of Lines and their Equations

ACCOUNT REQUIRED

Unlock all 5 questions & worked solutions

You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.

All Questions

Access the full question set for every topic.

Worked Solutions

Step-by-step explanations for every answer.

Track Progress

Mark questions right or wrong and monitor your growth.

It's Free

No credit card required - sign up in under a minute.

Questions

Question 1

17644

Find the point of intersection of the lines: \(3x - 2y = - 7\) \(2x + 3y = 4\)

Answer

\(x = - 1,\,\,y = 2\)

Worked Solution

\begin{aligned}
&&\;\;\,3x-2y&=-7 \cdots (1) \\
&&2x+3y&=4 \;\;\,\cdots (2)\\
&(1) \times 3 & 9x-6y&=-21\cdot\cdot (3) \\
&(2) \times 2 & 4x+6y&=8 \cdots \cdot \cdot (4) \\
&(3)+ (4) & 13x&=-13 \rightarrow x=-1 \\
&\text { In }(2)& -2+3y&=4 \rightarrow y=2
\end{aligned}

📚 Want More Questions?

There are 4 more questions available. Create your free account to access the complete question set with detailed solutions.

Get Full Access Already Have Account?