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Maksim231197 [3]
3 years ago
8

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Mathematics
2 answers:
Liula [17]3 years ago
6 0
Hello!

-2x + y = 1
-4x + y = -1

You can subtract these equations from each other to eliminate y

2x = 2

Divide both sides by 2

x = 1

Put this into one of the original equations

-2(1) + y = 1

Combine like terms

-2 + y = 1

Add 2 to both sides

y = 3

The answer is D) (1, 3)

Hope this helps!
Jlenok [28]3 years ago
3 0

Answer:

d. (1,3)

Step-by-step explanation:

We will use the substitution method to solve this system of linear equations with two unknowns.

First, we will have to choose any variable from some equation and clear it.

I will use the first equation, with the variable "y"

-2x+y=1\\y=1+2x

We will substitute this equation in the second equation. Every time we find the value of "y", let's replace.

-4x+y=-1\\-4x+(1+2x)=-1

We will solve this equation to find the value of "x"

-4x+1+2x=-1\\-2x=-1+1\\-2x=-2\\x=\frac{-2}{-2} \\x=1

Now, the found value of "x" will replace it in any of my two initial equations.

-2(1)+y=1\\

and we solve

-2+y=1\\y=1+2\\y=3

Thus, the result of this system of equations is

(1,3)

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