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Chapter 2: Problem 132

Is \(x-4 y=14\) a true statement for \(x=2\) and \(y=-3 ?\)

Short Answer

Expert verified
Yes, the equation \(x - 4y = 14\) holds true for \(x = 2\) and \(y = -3\).

Step by step solution

01

Substitute Provided Values

The first step is to substitute the values of \(x\) and \(y\) into the equation. So, we would replace \(x\) with 2 and \(y\) with -3 in the equation \(x - 4y = 14\). This gives us: \(2 - 4(-3) = 14\)
02

Simplify the Equation

The next step is to simplify the expression on the left-hand side of the equation. Since subtracting a negative is the same as adding, we get: \(2 + 4*3 = 14\). This simplifies further to: \(2 + 12 = 14\) and finally to \(14 = 14\)

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