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
PW
Related Maths KS3 answers
All answers ▸A piece of wire is 240cm long. Peter cuts two 45 cm lengths off the wire. He then cuts the rest of the wire into as many 40cm length as possible. How many wires of 40cm can be cut?
A race across America is 3096.25 miles. Juan knows from a previous race that his average speed is 15.12 miles per hour. If he cycles for 8 hours per day, how many days will it take him to finish the race?
A restaurant can be hired out for children's parties, and the cost is shown by the formula "Cost = (£13.50 x number of children) + £23". What is the cost for 8 children?
Bob buys 33 pens and 21 rulers for £6. A ruler costs 8 pence more than a pen. How much does one pen cost?