Answer:
(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
[tex]x + y = -6 - 2[/tex]
[tex]x + y = -8[/tex] --- (1)
[tex]2x - y = 2 * (-6) - (-2)[/tex]
[tex]2x - y = -10[/tex] -- (2)
So, the equations are:
[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
[tex]3x - y = 3 *(-12) - 18[/tex]
[tex]3x - y = -54[/tex]
[tex]4x + y = 4 * (-12) + 18[/tex]
[tex]4x + y = -30[/tex]
So, the equations are:
[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
Solving (9): (2,0)
Let the equations be: x + y and x - y
[tex]x + y = 2 + 0[/tex]
[tex]x + y = 2[/tex]
[tex]x - y = 2 - 0[/tex]
[tex]x - y = 2[/tex]
So, the equations are:
[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
