Find x and y respectively ifx – y, x + y) = (6, 10)a.X =10, Y = 6b.X = 6, Y = 10c.X = 8, Y = 2d.X = 2, Y = 8
Question
Find x and y respectively if
If
(x - y, x + y) = (6, 10)
a. X = 10, Y = 6
b. X = 6, Y = 10
c. X = 8, Y = 2
d. X = 2, Y = 8
Solution
The given equations are x - y = 6 and x + y = 10.
Step 1: Add the two equations together.
(x - y) + (x + y) = 6 + 10 2x = 16 x = 16 / 2 x = 8
Step 2: Substitute x = 8 into the first equation.
8 - y = 6 -y = 6 - 8 -y = -2 y = 2
So, the solution is x = 8 and y = 2. Therefore, the correct answer is c. X = 8, Y = 2.
Similar Questions
X = 10y = x + 21The solution to the given system of equations is (x, y). What is the value ofy?
Considering the system of these two equations: Equation 1: 3x + 4y = 10 Equation 2: 2x - 6y = 12 What is the solution to this system?
Find the solution of the system of equations.8, x, minus, 10, y, equals, 288x−10y=284, x, minus, y, equals, 64x−y=6
Solve this system of equations by graphing. First graph the equations, and then type the solution.y=6xy=8x–2Click to select points on the graph.
If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b a.2,1 b.3,1 c.4,6 d.1,2
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.