AvaDingus
Answered

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Solve this system of linear equations. Separate the x- and y-values with a comma.

2x = 9x - 14y

9x = 40 - 14y

Sagot :

Answer:

x = [tex]\frac{5}{2}[/tex], y = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = [tex]\frac{5}{4}[/tex]

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = [tex]\frac{5}{2}[/tex]

hope this helps!

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