Solve the simultaneous equations: 2 + 5y = 3x, x + y = 6

Solve the simultaneous equations: 1. 2 + 5y = 3x2. x + y = 6step 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 = 6

Answered by Phoebe W. Maths tutor

1796 Views

See similar Maths KS3 tutors

Related Maths KS3 answers

All answers ▸

The 4th and 5th multiples of a number are 24 and 30. What is the number?


A quadrilateral shape has angles of 60, 75, and 105 degrees. How many degrees is the fourth angle?


Find the value of 'a' in the equation: 5a + 12 = 37


Anton, Barbara and Clive are buying pens from the shop. Anton needs 4, Barbara needs 7, Clive needs 11. Pens only come in packs of 10. How many packs of pens do they need to buy between them?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences