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irakobra [83]
3 years ago
15

What is the solution to the system of equations?

Mathematics
2 answers:
fomenos3 years ago
8 0
-9x = 27
x = -3

-5(-3) - y = 21
15 - y = 21
y = -6

6 = -4(-3) - 6
6 = 12 - 6
Yuki888 [10]3 years ago
7 0

6 =  - 4x + y \\  - 5x - y = 21

Solve the first equation for y

y = 4x + 6 \\  - 5x - y = 21

Substitute the given value of y into the equation -5x-y=21

- 5x - (4x  +  6) = 21

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

- 5x - 4x - 6 = 21

Collect like terms

- 9x - 6 = 21

Move the constant to the right-hand side and change its sign

- 9x = 21 + 6

Add the numbers

- 9x = 27

Divide both sides of equation by -3

x =  - 3

Substitute the given value of x into the equation y=4x+6

y = 4 \times ( - 3) + 6

Multiply the numbers

y =  - 12 + 6

Calculate the difference

y =  - 6

The possible solution of the system is the ordered pair (x,y)

(x,y)=(-3,-6)

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