So you got
z²+y²=25² and
17²+x²=z²
x²+6²=y²
nice, so we have z² and y² all in terms of x
17²+x²+x²+6²=25²
2x²+289+36=625
2x²=300
x²=150
x=5√6
if we input back to find y and z
17²+x²=z², 287+150=z², √439 =z
x²+6²=y², 150+36=y², √186=y (not simplifying because no graphing calculator, so just eimplify yourself)
Factorise to (5z-1)(z-4) = 0
then put 5z-1 = 0 so 5z = 1 z = 1/5
z-4=0 z = 4
z = 1/5 and 4
Using the multiplication property, we have the following equivalent system of linear equations:
- 4/9x + 4/3y = 20/12
- 2/3x - 4/3y = 5/3
<h3>What is an Equivalent System of Linear Equations?</h3>
- Systems that are equivalent will have the same solution.
- Creating equivalent system helps us to find the variables in a system of equations.
Given:
1/3x + y = 5/4 ---> Equation 1
2/3x - 4/3y = 5/3 ---> Equation 2
To create an equivalent system, multiply equation 1 by 4/3, and multiply equation 2 by 1.
Thus, using the multiplication property, we have the following equivalent system of linear equations:
- 4/9x + 4/3y = 20/12
- 2/3x - 4/3y = 5/3
Learn more about equivalent system of linear equations on:
brainly.com/question/1869465
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