Simplify the expression: 3x + 2y -7x + c + y

The important thing in this question is the letters. We want to group "like terms" together. This is what makes the expression simpler. 

I go about this by drawing a different shape around each letter. i.e the x terms would have a square, the y terms a circle and the c term a triangle.

The most important thing to remember when doing this is that the sign (that is, the plus/minus) BEFORE the term must stay with that term. This determines whether we add or subtract this from the other "like terms".

Once we have circled them, we can take each set of like terms and deal with them seperately. For example, the x terms would come to 3x - 7x. At this point, we deal with the numbers and don't worry about the letters, i.e we perform 3-7, this will come to -4, and, putting the letter back on, we get -4x. We do this with each set of like terms, and then put them back together.

This will give us the simplified answer -4x+3y+c.

ES
Answered by Edward S. Maths tutor

5609 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?


Emma has a digital photo. The photo has width 960 pixels and height 720 pixels. Write down the ratio of the width of the photo to the height of the photo. Give the ratio in its simplest form.


The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a


Show that (x+2)(x+3)(x+4) can be written in the form of ax^3+bx^2+cx+d where a, b, c and d are positive integers.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning