rearrange the first equation so it reads y= 5x+y= 21 y=21-5xSubstitute this y value into the second equation x-3y=9 y=21-5x x-3(21-5x)=9Expand out the bracket and rearrange to find out what x equals ( be careful with the changing plus and minus) x-63+ 15x=9 16x-63=9 16x=72 x=4.5REMEMBER you need to find x and Y so put your x value back into on ...

Rearrange x - 3y = 9 to make x the subject by adding 3y to both sides of the equation, giving x = 9 + 3y. Substitute the value of "x" in the second equation for "9 + 3y", giving: 5(9 + 3y) + y = 21. Multiply out the brackets to give 45 + 15y + y = 21. Add together like terms: 45 + 16y = 21, then subtract 45 from both sides: 16y = -24, and then ...

Call '5x + y = 21' equation 1 and 'x - 3y = 9' equation 2. To solve this, we need the coefficients of x in both equations to be the same or the coefficients of y in both equations to be the same.

Then, to get x, divide through by 4 for x=3. That’s one half of the answer, now to get y, sub x=4 into one of the equations and rearrange for y. Subbing it into the top one: 5(4) + y = 21 so 20+y=21 and y=1. So, x=4 and y=1.

The equations become:5x + y = 215x - 15y = 45Then subtract one from the other to eradicate x.y - - 15 y = 16y and 21 - 45 = -2416y = -24Solve for y.y = -24/16 (both divisible by 8) so y = -3/2 or -1.5Insert y into either of the original equations.x - (-3*3/2) = 9x + 9/2 = 9 x = 9 - 9/2 x = 18/2 - 9/2 x = 9/2 or 4.5So: x = 4.5 y = -1.5

In any sequence, the position of a term (1st, 2nd, 3rd etc.) is represented by the letter ‘n’. In linear sequences only, the ‘nth-term rule’ gives the value of any term in that sequence at position ‘n’. It is written as ‘xn ± y’ where x = the constant difference between term …

2024年12月20日 · 9.3K views 20 replies 11 participants last post by BackyardCowboy Mar 16, 2025 tony pasley Discussion starter 8148 posts · Joined 2006

Draw the following inequality on a graph: x^2+4x+1<-2 Answered by Saad A. How to recognise and make the link between probability and the algebraic demands of this question?

Solve X^2 +13X+48=12. Answered by Kemba M. Solve the simultaneous equations 5x + y = 21 and x - 3y = 9.

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