y = x22x - y = 1 [3]Solve the simultaneous equations.You must show all your working.21 x + y = 8x - 2y = 2[3]Question 1Question 2
Question
y = x22x - y = 1 [3]Solve the simultaneous equations.You must show all your working.21 x + y = 8x - 2y = 2[3]Question 1Question 2
Solution
It seems like there are two sets of simultaneous equations to solve here. Let's solve them one by one.
Set 1: y = x2 2x - y = 1
Substitute y = x2 into the second equation: 2x - x2 = 1 Rearrange to form a quadratic equation: x2 - 2x + 1 = 0 This is a perfect square trinomial (x-1)^2 = 0 So, x = 1
Substitute x = 1 into the first equation to find y: y = (1)2 = 1
So, the solution to the first set of equations is x = 1
Similar Questions
Solve the simultaneous equations6x+7y= −22,2x+3y= −14.
(ii) x – y = 8, 3x – 3y = 16
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)2𝑟−𝑡2r−t==22 (2)(2)𝑡t==3𝑟3r
Calculate the solution to these simultaneous equations using the elimination method: (1)(1)4𝑥+𝑦4x+y==1717 (2)(2)𝑥−𝑦x−y==88
Find the x- and y-intercepts of the line 8x–2y=32.Write your answers as integers or as simplified proper or improper fractions, not as ordered pairs.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.