ksamuel55
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Someone can help me with this please i am giving 70 brainly points and a brainlest
Solve each system by substitution. Write your answer as an ordered pair. (#,#)
y = -4x + 2
-8x - 4y = -8

Respuesta :

mackenzeemoore54
Answer
To solve this system of equations, we can use the substitution method.
First, let's solve the first equation for y:
y=-4x+2
Now, substitute this expression for y into the second equation:
-8x - 4(-4x + 2) = -8
Simplify: -8x + 16x -8 = -8
Combine like terms:
8x-8=-8
Add 8 to both sides:
8x = 0
Divide both sides by 8:
x = 0
Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:

y= -4(0)+2
У = 2
So, the solution to the system of
equations is x = 0 and y = 2.
Therefore, the correct answer option is (0,2)
msm555

Answer:

[tex] (0, 2) [/tex]

Step-by-step explanation:

Let's solve the system of equations by substitution:

Given:

[tex]\begin{cases} y = -4x + 2 \\-8x - 4y = -8 \end{cases}[/tex]

We can start by substituting the expression for [tex]y[/tex] from the first equation into the second equation.

From the first equation, we have [tex]y = -4x + 2[/tex]. We'll substitute this expression for [tex]y[/tex] into the second equation:

[tex] -8x - 4(-4x + 2) = -8 [/tex]

Now, solve for [tex]x[/tex]:

[tex] -8x + 16x - 8 = -8 [/tex]

[tex] 8x - 8 = -8 [/tex]

[tex] 8x = -8+8 [/tex]

[tex] 8x = 0 [/tex]

[tex] x = \dfrac{0}{8} [/tex]

[tex] x = 0 [/tex]

Now that we have found [tex]x = 0[/tex], we can substitute it back into one of the original equations to find [tex]y[/tex]. Let's use the first equation:

[tex] y = -4(0) + 2 [/tex]

[tex] y = 2 [/tex]

So, the solution to the system of equations is [tex] (0, 2) [/tex].

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