WebAug 11, 2015 · Explanation: Your system of equations looks like this {y = 6x − 5 y = −x + 9 Notice that y is said to be equal to two distinct expressions that depend on x, which can only mean that these expressions must be equal to each other. 6x −5 = −x + 9 Solve this equation for x 6x +x = 9 + 5 7x = 14 ⇒ x = 14 7 = 2 WebWe're asked to find the number of solutions to this system of equations: \begin {aligned} y&=-6x+8\\\\ y&=-3x-4 \end {aligned} y y = −6x + 8 = −3x − 4. Since the slopes are different, the lines must intersect. Here are the graphs: Because the lines intersect at a point, there is one solution to the system of equations the lines represent.
Solution Sets of Inequalities Intermediate Algebra - Lumen Learning
WebMar 2, 2024 · Write the subtraction sign outside the quantity of the second system of equations. Ex: If your two equations are 2x + 4y = 8 and 2x + 2y = 2, then you should write the first equation over the second, with the subtraction sign outside the quantity of the second system, showing that you'll be subtracting each of the terms in that equation. WebIn the solution set, x 2 is allowed to be anything, and so the solution set is obtained as follows: we take all scalar multiples of A 3 1 B and then add the particular solution p = A … inclination\\u0027s ug
Solution Sets - Varsity Tutors
WebThe set containing all the solutions of an equation is called the solution set for that equation. If an equation has no solutions, we write ∅ for the solution set. ∅ means the null set (or empty set). Sometimes, you may be given a replacement set, and asked to test whether the equation is true for all values in the replacement set. Find the ... Webnews presenter, entertainment 2.9K views, 17 likes, 16 loves, 62 comments, 6 shares, Facebook Watch Videos from GBN Grenada Broadcasting Network: GBN... WebOct 19, 2016 · Explanation: Note that we define the absolute value function as. a = {a if a ≥ 0 −a if a < 0. so we consider two cases: Case 1) x −6 ≥ 0. ⇒ x −6 = x −6. ⇒ x − 6 = 7. ⇒ x … inboxdollarsmypoints