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One number is 4 less than 3 times a second number. If 3 more than two times the first number is decreased by 2 times the second number
Question
One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?
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Mathematics
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2021-08-15T00:28:48+00:00
2021-08-15T00:28:48+00:00 1 Answers
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Answer:
The first number (x) = 8
Step-by-step explanation:
Let x = the first number
Let y = the second number
x = 3*y – 4
2x + 3 – 2y = 11 Subtract 3 from both sides
2x – 2y = 11 – 3
2x – 2y = 8 Divide by 2
x – y = 4 Add y to both sides
x = y + 4 Now go back to the very first equation. Substitute for x
y + 4 = 3y – 4 Subtract y from both sides
4 = 3y – y – 4
4 = 2y – 4 Add 4 to both sides
4 + 4 = 2y
8 = 2y Divide by 2
8/2 = y
y = 4
x = 3y – 4
x = 3*4 – 4
x = 12 – 4
x = 8