Problem 132
Question
Is \(x-4 y=14\) a true statement for \(x=2\) and \(y=-3 ?\)
Step-by-Step Solution
Verified Answer
Yes, the equation \(x - 4y = 14\) holds true for \(x = 2\) and \(y = -3\).
1Step 1: 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: \(2 - 4(-3) = 14\)
2Step 2: 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 \(14 = 14\)
Other exercises in this chapter
Problem 130
The length of a rectangle exceeds the width by 5 inches. The perimeteris 34 inches. What are the rectangle's dimensions?
View solution Problem 131
Solve and check: \(5 x+16=3(x+8)\).
View solution Problem 133
Is \(x-4 y=14\) a true statement for \(x=12\) and \(y=1 ?\)
View solution Problem 134
If \(y=\frac{2}{3} x+1,\) find the value of \(y\) for \(x=-6\)
View solution