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Solve each system of equations by SUBSTITUTION. Clearly identify your solution.5x + 3y = 15) (x - 6y = 3

Sagot :

x = 3, y = 0

Explanation:

5x + 3y = 15 ...equation 1

x - 6y = 3 ...equation 2

Using substitution method:

We can use any of the variables to work out the substitution method

let's make x the subject of formula in equation 2:

x - 6y = 3

x = 3 + 6y ...equation 3

Now we substitute 3+6y for x in equation 1:

5(3+6y) + 3y = 15

Expand the paranthesis:

15 + 30y + 3y = 15

collect like terms:

30y + 3y = 15 - 15

33y = 0

Divide both sides by 33:

33y/33 = 0/33

y = 0

We substitute 0 for y in any of the equation:

Using equation 2:

x - 6(0) = 3

x - 0 = 3

x = 3