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

Answered by Jessica B. Maths tutor

5778 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

a) Factorise the following expression (x^2)-49 b) Differentiate the following equation y = (x^2) - 49 and find the stationary points of the equation


f(x)=x^2+12x+32=0, solve for x


There are 48 girls in a large cheerleading squad. The ratio of girls to boys in this squad is 8:3. How many boys are in the squad?


a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.


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