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luda_lava [24]
3 years ago
12

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

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

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)

Eddi Din [679]3 years ago
6 0

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).

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To find the inverse, we swap the variables y and x, then solve for the new y.

3a. y=\frac{3}{x-1}

Swapping the variables: x=\frac{3}{y-1}
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Swapping: x=\sqrt[3]{\frac{y-7}{3}}
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4c. y=\sqrt[3]{\frac{x-7}{3}}, y=3x^3+7
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