Solve the system of equations by hand calculation. (Round your answers to two decimal places.) 5x + 8y = 2 4x − 6y = 3 (x,y) ____
one approach using elimination/addition method
pick the variable you want to eliminate
are you going to work with me here to let me help you?
yes!
so what variable do you want to eliminate? what do you need to do to make the coefficients of that variable equal but opposite so that when added the sum is zero therefore the variable is eliminated?
you now have a linear (one unknown variable) equation solve for that variable. remember when working with an equation to keep the balance; whatever you do to one side also do to the other.
We can eliminate 8y I guess?
substitute this value in either of the original expression for the other variable and compute
not 8y just the variable
so divide both sides by 8 in the first equation
in order to do that the coefficients must be equal and opposite
so 5x+y=2/8
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