Solve the simultaneous equations: 3x − y = 23 2x + 3y = 8

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -3y on the bottom, we can add the 2 equations giving 11x=77 dividing both sides by 11 gives us x=7We can substitute this x back into the very first equation now to give us y ---> 3(7)-y=23Add y to both sides --> 21=23+ySubtract 23 from both sides --? -2=yNow substitute x and y into the second equation to check

JB

Related Maths GCSE answers

All answers ▸

A kettle costs £50 in a sale. It was reduced by 30%. What was the original price of the kettle?


A straight line goes through the point (7, 5) with a slope of 2. What is the equation of the line?


Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.


how do I solve the equation x^2 + 7x + 11 = 0, to 3dp?