Respuesta :

saqrabdo16

Answer:

x=−2 and y=−1

Step-by-step explanation:

3x+y=−7;−2x+4y=0

Step: Solve3x+y=−7for y:

3x+y=−7

3x+y+−3x=−7+−3x(Add -3x to both sides)

y=−3x−7

Step: Substitute−3x−7foryin−2x+4y=0:

−2x+4y=0

−2x+4(−3x−7)=0

−14x−28=0(Simplify both sides of the equation)

−14x−28+28=0+28(Add 28 to both sides)

−14x=28

−14x−14=28−14(Divide both sides by -14)

x=−2

Step: Substitute−2forxiny=−3x−7:

y=−3x−7

y=(−3)(−2)−7

y=−1(Simplify both sides of the equation)

strider874

Answer:

x =  [tex]\frac{3}{5} y[/tex] + [tex]\frac{-7}{5}[/tex]  and y =  [tex]\frac{5}{3} x[/tex] + [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Let's solve for x.                                                          

Step 1:  Add 2x to both sides.

3x+y+2x=−2x+4y−7+2x

5x+y=4y−7

Step 2: Add -y to both sides.

5x+y+−y=4y−7+−y

5x=3y−7

Step 3: Divide both sides by 5.

5x/5 = 3y-7/5

x = [tex]\frac{3}{5} y[/tex] + [tex]\frac{-7}{5}[/tex]  

Let's solve for y.

3x+y=−7−2x+4y

Step 1: Add -4y to both sides.

3x+y+−4y=−2x+4y−7+−4y

3x−3y=−2x−7

Step 2: Add -3x to both sides.

3x−3y+−3x=−2x−7+−3x

−3y=−5x−7

Step 3: Divide both sides by -3.

−3y/3 = -5x-7/3

y = [tex]\frac{5}{3} x[/tex] + [tex]\frac{7}{3}[/tex]

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