Question

Solve this system of linear equations.separate the x- and y-value with a comma. -6x=-4-y -7x=-22+y.

Answer 1

(2,8)

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 2

The solution is (-2, -16).

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).