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dybincka [34]
3 years ago
9

Solve the system of equations by using substitution.​

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

(x,y) = (-1,1)

Step-by-step explanation:

Given the equations

y = 2x + 3

x - y = -2

substitute the value of y in the first equation into the second

x - (2x + 3) = -2

x -2x - 3 = -2

-x - 3 = -2

add 3 to both sides

-x = -2 + 3

- x = 1

Divide both sides by -1

x = -1

Substitute into the first equation

y = 2(-1) + 3

y = -2 + 3

y = 1

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(-3/2)x - 9 = - 27 solve for x
aleksklad [387]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(-3 x)/2 - 9 = -27

Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:

(-18)/2 - (3 x)/2 = -27

(-18)/2 - (3 x)/2 = (-3 x - 18)/2:

(-3 x - 18)/2 = -27

Multiply both sides of (-3 x - 18)/2 = -27 by 2:

(2 (-3 x - 18))/2 = -27×2

(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:

-3 x - 18 = -27×2

2 (-27) = -54:

-3 x - 18 = -54

Add 18 to both sides:

(18 - 18) - 3 x = 18 - 54

18 - 18 = 0:

-3 x = 18 - 54

18 - 54 = -36:

-3 x = -36

Divide both sides of -3 x = -36 by -3:

(-3 x)/(-3) = (-36)/(-3)

(-3)/(-3) = 1:

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Answer:  x = 12

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3 years ago
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