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podryga [215]
2 years ago
12

MAX POINTS!!! Write and solve a system of equations. Be sure to label the variables. The difference of two numbers is two. Two t

imes the first number plus the second number is thirteen. What are the numbers? Show and explain all work.
Mathematics
2 answers:
Cerrena [4.2K]2 years ago
3 0

Answer:

  • 5 and 3

Step-by-step explanation:

Let the numbers be x and y.

<u>The equations are:</u>

  • x - y = 2
  • 2x + y = 13

<u>Add up the equations to eliminate y and solve for x:</u>

  • x - y + 2x + y = 2 + 13
  • 3x = 15
  • x = 15/3
  • x = 5

<u>Now find the value of y:</u>

  • y = x - 2
  • y = 5 - 2
  • y = 3
kobusy [5.1K]2 years ago
3 0

Let the numbers be a and b

  • a-b=2--(1)
  • 2a+b=13---(2)

Adding both

\\ \sf\longmapsto 3a=15

\\ \sf\longmapsto a=5

Putting in eq(1)

\\ \sf\longmapsto 5-b=2

\\ \sf\longmapsto b=5-2

\\ \sf\longmapsto b=3

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