Solve this simultaneous equation: 2 + 5y = 3x, x + y = 6

step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitute x = 6 - y into equation 1.how? where x is in the equation put in (6 - y)2 + 5y = 3 (6 - y)step 3 - expand the equationhow? multiply the left side of the equation by 3.2 + 5y = 18 - 3ystep 4 - rearrange equation to make y the subjecthow? + 3y on both sides, -2 on both sides8y = 16step 5 - what is y?how? divide both sides by 8y = 2step 6 - substitute the y-value into one of the equations to find xx = 6 - yx = 6 - 2x = 4step 7 - check your answers with the original equations2 + (5 x 2) = 3 x 4 2 + 4 = 6NB: other methods for solving the equation - multiplying one of the equations

PW
Answered by Phoebe W. Maths tutor

2967 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)


Harry mixes white paint and blue paint in the ratio 2:5. He makes a total of 21 litres of paint. How much more blue paint does he need to add to the mixture so that the ratio of white paint to blue paint becomes 1:4?


Write down the value of (125)^2/3


ABC and BCD are two attached triangles, attached along line BC. AB = 5.8cm, AC=5.2cm, BD=4.3cm. Angle BDC = 30 degrees, and angle DCB is a right angle. Calculate angle CBA.


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:

© 2025 by IXL Learning