MYTUTOR SUBJECT ANSWERS

616 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

455 SUBJECT SPECIALISTS

£36 /hr

Adam D.

Degree: Economics and Management (Bachelors) - Bristol University

Subjects offered: Maths, Economics

Maths
Economics

“I am a second year undergraduate student at the University of Bristol, studying Economics and Management. I achieved A* in Economics and Maths A-levels and an A* at maths GCSE so would be very happy to help any students who are studyi...”

£18 /hr

Zoe N.

Degree: Computer Science (Masters) - St. Andrews University

Subjects offered: Maths, English+ 1 more

Maths
English
Computing

“About me: I'm a first year computer science student at the University of St. Andrews. I have been a private tutor previously for two years but I have been helping my younger brother with the subjects he struggles with for many more ye...”

MyTutor guarantee

£18 /hr

Alexandra L.

Degree: Aeronautical and Aerospace Engineering (Bachelors) - Leeds University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“About Me I’m an Aerospace Engineering student at Leeds University. I have long loved tinkering and seeing how things work; to me, science is just the formal extension of this curiosity. Throughout sixth form I helped run the school ...”

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

Find the mean, median, mode and range of this data: 2, 5,6,12,5

The first three terms of a sequence are a, b, c. The term-to-term rule of the sequence is 'Multiply by 2 and subtract 4'. Show that c = 4(a – 3).

Solve the simultaneous equations: y=5-x and y=x+1.

What is the Pythagoras Theorem?

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok