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Roman55 [17]
2 years ago
13

Solve the system of equations using the substitution method.

Mathematics
2 answers:
Minchanka [31]2 years ago
4 0

Answer:

y =  - 2 \\ x =  - 2

Step-by-step explanation:

<h3>Question</h3>

- 5x - 3y = 16  \:  \:  =  > 1 \\ y = x =  > 2

Now you can write the 1st equation like this.

- 5x - 3y = 16 \\ x = y \\ so \:  \: you \:  \:  \: can \:  \: write \\  - 5y -  3y = 16  \:  \:  \:  =  > 3

Now simply Solve the 3rd equation

- 5y - 3y = 16 \\  - 8y = 16 \\  \frac{ - 8y}{ - 8}  =  \frac{16}{ - 8}  \\ y =  - 2

<em>Now</em><em> </em><em>replac</em><em>e</em><em> </em><em>y</em><em> </em><em>as</em><em> </em><em>2</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>2</em><em>n</em><em>d</em><em> </em><em>equation</em><em> </em><em>like</em><em> </em><em>this</em>

<em>y = x \\  - 2 =  - 2</em>

<em>Now</em><em> </em><em>let's</em><em> </em><em>check</em><em> </em><em>whether</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>correct</em><em> </em><em>or</em><em> </em><em>wrong</em>

<em>- 5x - 3y = 16 \\   -  5 \times  - 2 - 3  \times  - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16</em>

<em>Yes</em><em>,</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>correct</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em><em>!</em><em>!</em>

Galina-37 [17]2 years ago
3 0

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

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