Solve the simultaneous equations 3x +y =11 and 2x+y=8

Equation 1: 3x+y= 11, Equation 2: 2x+y=8. You want to find out what x is and what y is.In both equations there is only 1 unit of y therefore it is easiest to rearrange the first equation so that it equals y this will become your equation 3. Equation 3: y=11-3x, Equation 2: 2x+y=8. Substitute equation 3 into equation 2. 2x+ 11-3x= 8 , 11-x=8, x= 11-8, x=3 Substitute x back into equation 3y=11-3x, y= 11-3(3), y=11-9, y=2. Therefore x= 3 and y= 2

KM
Answered by Kathryn M. Maths tutor

4101 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following simultaneous equations: 3x+y=11, 2x+y=8


If a rectangle has area 48cm2 and sides length 6cm and (3x+2)cm, what is the value of x?


A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.


A cuboid of height 5 cm has a base of side 'a' cm. The longest diagonal of the cuboid is 'L' cm. Show that 'a' = SQRT[ (L^2 - 25)/2]


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences