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IM NOT SMART SUBSTITUTION METHOD AGAIN

IM NOT SMART SUBSTITUTION METHOD AGAIN-example-1
User San
by
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1 Answer

4 votes

Answer:

x = 6

y = -3

Explanation:

15x + 31y = -3

we are given that x =( - y + 3 )

so in the equation 15x + 31y = -3 we substitute "x" for ( -y + 3 ) and we solve for y

so 15 ( -y + 3 ) + 31y = -3

now we use basic algebra to solve for y

step 1 distribute the 15

15 * -y = -15y

15 * 3 = 45

now we have 45 - 15y + 31y = -3

step 2 combine like terms

-15 + 31y = 16y

now we have 45 + 16y = -3

step 3 subtract 45 from each side

-3 - 45 = -48

45 - 45 cancels out

now we have 16y = -48

step 4 divide each side by 16

16y/16=y

-48/16=-3

we're left with y = -3

Now to find x we substitute -3 for y in x = -y + 3

* substitute *

x = - ( -3) + 3

the two negative signs cancel out and we get x = 3 + 3

3 + 3 = 6

we're left with x = 6

User Cal Jacobson
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