544 views

### Solve these simultaneous equations, (1) [5a - 3b = 16], (2) [2b - 3a = -9] ?

(1) 5a - 3b = 16
(2) 3b - 3a = -9

First make either the a's or b's same.in one of the equations.

(1) x 2 = 10a - 6b = 32
(2) x 3 = 6b - 9a = -27

Second combine the equations.

(1) + (2)

--> 10a - 6b + 6b - 9a = 32-27

--> 10a - 9a = 32 -27

--> a = 5

Third use (1) and a = 5 to find b.

(5 x 5) - 3b = 16

--> 25 - 3b = 16

--> 25 - 16 = 3b

--> 9 = 3b

--> b = 3

10 months ago

Answered by Ivan, a GCSE Maths tutor with MyTutor

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

#### 780 SUBJECT SPECIALISTS

£18 /hr

Degree: Medicine (Bachelors) - Oxford, Merton College University

Subjects offered:Maths, Human Biology+ 6 more

Maths
Human Biology
Chemistry
-Personal Statements-
-Oxbridge Preparation-
-Medical School Preparation-

“I'm a second year medical student at Oxford University. Tutorials are fun, productive and tailored to you!”

£18 /hr

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“I am currently studying Maths at University and absolutely love it! I can't wait to share my enthusiasm with you!”

£18 /hr

Degree: Environmental Geoscience (Bachelors) - Durham University

Subjects offered:Maths, Geology+ 2 more

Maths
Geology
Geography
Chemistry

“Third year Earth Sciences student at Durham; specialise in geochemistry and tutor in Earth sciences, Chemistry and Maths”

Trusted by schools

|  4 completed tutorials

Currently unavailable: for new students

Degree: Protein Structure and Function (Masters) - Bath University

Subjects offered:Maths, History+ 2 more

Maths
History
Chemistry
Biology

“Hi! I'm Ivan! I am a biology masters student at the University of Bath. Science and maths always been a big part of my life and I hope to engender the same interest and enthusiam in others. In terms of relevant experience I have been, ...”

### You may also like...

#### Posts by Ivan

Describe the process of translation.

Solve these simultaneous equations, (1) [5a - 3b = 16], (2) [2b - 3a = -9] ?

#### Other GCSE Maths questions

A rectangle has an area of 20cm^2. Its length and width are each enlarged by scale factor 3. What is the area of the enlarged rectangle?

Prove that 1/sin(2theta) - cos(2theta)/sin(2theta) = tan(theta)

Solve x^​2​ - 10x + 21 = 0 through the following methods: Factorisation, Completing the Square and using the Quadratic Formula

How do I solve the equation x^2 = 3x - 1 ?

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