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Fudgin [204]
2 years ago
13

Substitution method4x + y = 146x - 3y = 3​

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

Answer:

  • x = 2.5
  • y = 4

Step-by-step explanation:

<u>We know that:</u>

  • 4x + y = 14
  • 6x - 3y = 3

<u>Let's first solve for y by choosing any equation.</u>

  • 4x + y = 14
  • => y = 14 - 4x

<u>Now, let's substitute the value of y into the second equation.</u>

  • 6x - 3y = 3
  • => 6x - 3(14 - 4x) = 3
  • => 6x - 42 + 12x = 3
  • => 18x - 42 = 3
  • => 18x = 42 + 3
  • => 18x = 45
  • => x = 45/18 = 5/2 = 2.5

<u>Now, let's substitute the value of x into the equation of y.</u>

  • => 14 - 4x = y
  • => 14 - 4(2.5) = y
  • => 14 - 10 = y
  • => y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

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