Example 3 Find four different solutions of the equation x 2y = 6 Solution By inspection, x = 2, y = 2 is a solution because for x = 2, y = 2 x 2y = 2 4 = 6 Now, let us choose x = 0 With this value of x, the given equation reduces to 2y = 6 which has the unique solution y = 3 So x = 0, y = 3 is also a solution of x 2y = 6
Is y=x^2-6 a linear equation-The value of x, y and z respectively on simplifying the equation 2 x 3 y = 0, 3 y 4 z = 1 4 a n d 2 x 4 z = 2 6 is Easy View solution > Solve the following pair of linear equations by the substitution method 3 x 5 y = 0 5 x − 8 y = 0Y=2x2 Swap sides so that all variable terms are on the left hand side 2x2=y Subtract 2 from both sides 2x=y2 Divide both sides by 2 \frac{2x}{2}=\frac{y2}{2} Dividing by 2 undoes the multiplication by 2 x=\frac{y2}{2}
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Section 22 Linear Equations We'll start off the solving portion of this chapter by solving linear equations A linear equation is any equation that can be written in the form \ax b = 0\ where \(a\) and \(b\) are real numbers and \(x\) is a variableSolution Step1 Multiply first equation by 5 and second by 2 After simplifying we have Step2 add the two equations together to eliminate from the system Step 3 substitute the value for x into the original equation to solve for y The solution is Check the solution by using the above calculator 3
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