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3 years ago

find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

1 answer:

8 0

Let the first integer be x, then:-

2 (x + x+ 2) = 3(x + 6) + 14

4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28

the four integers are 28,30,32 and 34.

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Answer:

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Step-by-step explanation:

The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.

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In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.

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