MYTUTOR SUBJECT ANSWERS

748 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

463 SUBJECT SPECIALISTS

£20 /hr

Sara J.

Degree: Computing Science (Bachelors) - Glasgow University

Subjects offered:Maths, Geography+ 2 more

Maths
Geography
Computing
-Personal Statements-

“Undergraduate student at University of Glasgow with passion for Computing Science, Mathematics and Geography.”

£20 /hr

Amilah C.

Degree: Physics with a year abroad (Masters) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“Hi there, welcome to me page! About Me: I am currently studying Physics at the University of Edinburgh. From a young age, science has always been a passion of mine, and hopefully I can convey this in my tutorials. Previously, I found...”

£18 /hr

Liam R.

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths

Maths

“I study Economics at Durham. I have a passion for maths and hope to share this with you! To find out more, click on my profile & book a free 15-minute meeting!”

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 the Simultaneous Equations -3X + 4Y=11 & X-2Y = -5 to find the values of X and Y

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

What's the inverse of the function f=x+2?

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