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user100 [1]
4 years ago
12

Solve the system of equations using the substitution method.

Mathematics
1 answer:
OLEGan [10]4 years ago
7 0

The solution of system of equations is: x = 1.6 and y = 1.2

Step-by-step explanation:

Given equations are:

y = 2-\frac{1}{2}x\ \ \ \ Eqn\ 1\\x-3y = -2\ \ \ eqn\ 2

Putting y = 2-\frac{1}{2}x in equation 2

x - 3(2-\frac{1}{2}x) = -2\\x - 6 + \frac{3}{2}x = -2\\x +\frac{3}{2}x = -2+6\\\frac{2x+3x}{2} = 4\\\frac{5x}{2} = 4\\5x = 4 * 2\\5x = 8\\x = \frac{8}{5}\\x = 1.6

Putting x = 1.6 in equation 2

1.6-3y = -2\\-3y = -2-1.6\\-3y =- 3.6

Dividing both sides by -3

\frac{-3y}{-3} = \frac{-3.6}{-3}\\y = 1.2

Hence,

The solution of system of equations is: x = 1.6 and y = 1.2

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

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