Solve this system of linear equations.separate the x- and y-value with a comma. -6x=-4-y -7x=-22+y.
Answer:
(2,8)
Step-by-step explanation:
Add them together to get rid of the y.
-6x = -4 - y
-7x = -22 + y
=
-13x = -26
Then solve for x.
-13x/-13 = -26/-13
x = 2
Now plug in the x value into either equation and solve for y.
-7(2) = -22 + y
-14 = -22 + y
-14 + 22 = -22 + 22 + y
8 = y
So...
x = 2
y = 8
(2,8)
Answer:
The solution is (-2, -16).
Step-by-step explanation:
-6x = -4-y can be solved for y: y = 6x - 4
-7x = -22 + y
In the second equation, substitute 6x - 4 for y:
-7x = -22 + 6x - 4
Grouping like terms: 0 = -22 + 6x + 7x - 4, or
-26 = 13x
So x = -2. If x = -2, we can obtain the value of y from y = 6x - 4 (see above).
y = 6(-2) - 4 = -16
The solution is (-2, -16).