MYTUTOR SUBJECT ANSWERS

810 views

Can you solve the following 2 simultaneous equations; y=6x-2 and x^2-4x+19=y?

y=6x-2

x2-4x+19

Both equations are equal to Y, hence can be substituted into each other;

6x-2= x^2-4x+19

Now we only have X terms in our equations

Bring all the like X terms together, and make equation equal to 0

  1. 6x-2= x^2-4x+19
  2. 6x= x^2-4x+19+2
  3. 6x= x^2-4x+21
  4. 0= x^2-4x+21-6x
  5. 0= x^2-10x+21

Now we have a simultaneous equations which we can factorise

0=(x-7)(x-3)

We can now solve this as either x-7 must equal 0 or x-3 must equal 0

0=x-7………………………………x=7

Or

0=x-3………………………………x=3

Hence answer is x=7 or 3

Mohammed C. GCSE Maths tutor, 13 plus  Maths tutor, GCSE Biology tuto...

2 years ago

Answered by Mohammed, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

462 SUBJECT SPECIALISTS

£18 /hr

Abhinav T.

Degree: Medicine (Other) - University College London University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Chemistry
Biology

“Confirming understanding by verbal confirmation and communication so as to ensure clarity and confidence during the learning process and progression.”

MyTutor guarantee

£36 /hr

James G.

Degree: Mathematical Physics (Doctorate) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
.STEP.

“Currently a 3rd year PhD student in Mathematical Physics. I'm very passionate about teaching as well as my subject area. Look forward to hearing from you.”

Holly R. A Level Biology tutor, GCSE Biology tutor, A Level Chemistry...
£18 /hr

Holly R.

Degree: Medical Sciences (Human Genomics) (Bachelors) - Exeter University

Subjects offered:Maths, Human Biology+ 1 more

Maths
Human Biology

“A tennis coach with 4 years experience teaching, and a passion for it. Studying Medical Science, my enthusiasm allows me to instil the same in others.”

About the author

Mohammed C.

Currently unavailable: no new students

Degree: Medicine (Masters) - Cardiff University

Subjects offered:Maths, Biology+ 1 more

Maths
Biology
-Medical School Preparation-

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

Solve these simultaneous equations (2x+y=7 and 3x-y=8) and find the values of Equation: x and Equation: y .

Expand and simplify the following equation: 6(x-3) - 4(x-5) = 0

Why is anything to the power 0 equal 1?

What is algebra used for?

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok